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What is the value of x in the given equation?
(3x – 8)(3x + 2) – (4x – 11)(2x + 1) = (x – 3) (x + 7)
(3x – 8)(3x + 2) – (4x – 11)(2x + 1) = (x – 3) (x + 7)
- a)2
- b)4
- c)3
- d)5
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
What is the value of x in the given equation?(3x – 8)(3x + 2) &n...
Understanding the Equation
The equation given is:
(3x – 8)(3x + 2) – (4x – 11)(2x + 1) = (x – 3)(x + 7)
To find the value of x, we need to simplify both sides.
Step 1: Expand the Left Side
- For (3x – 8)(3x + 2):
- 3x * 3x = 9x^2
- 3x * 2 = 6x
- -8 * 3x = -24x
- -8 * 2 = -16
- Result: 9x^2 - 18x - 16
- For (4x – 11)(2x + 1):
- 4x * 2x = 8x^2
- 4x * 1 = 4x
- -11 * 2x = -22x
- -11 * 1 = -11
- Result: 8x^2 - 18x - 11
Putting it all together for the left side:
- 9x^2 - 18x - 16 - (8x^2 - 18x - 11)
- Simplify: x^2 - 5
Step 2: Expand the Right Side
- For (x – 3)(x + 7):
- x * x = x^2
- x * 7 = 7x
- -3 * x = -3x
- -3 * 7 = -21
- Result: x^2 + 4x - 21
Step 3: Set the Equation
Now we set:
x^2 - 5 = x^2 + 4x - 21
Step 4: Solve for x
- Cancel x^2 from both sides:
- -5 = 4x - 21
- Rearranging gives:
4x = 16
- Thus, x = 4.
Conclusion
The value of x in the equation is 4, which corresponds to option 'B'.
The equation given is:
(3x – 8)(3x + 2) – (4x – 11)(2x + 1) = (x – 3)(x + 7)
To find the value of x, we need to simplify both sides.
Step 1: Expand the Left Side
- For (3x – 8)(3x + 2):
- 3x * 3x = 9x^2
- 3x * 2 = 6x
- -8 * 3x = -24x
- -8 * 2 = -16
- Result: 9x^2 - 18x - 16
- For (4x – 11)(2x + 1):
- 4x * 2x = 8x^2
- 4x * 1 = 4x
- -11 * 2x = -22x
- -11 * 1 = -11
- Result: 8x^2 - 18x - 11
Putting it all together for the left side:
- 9x^2 - 18x - 16 - (8x^2 - 18x - 11)
- Simplify: x^2 - 5
Step 2: Expand the Right Side
- For (x – 3)(x + 7):
- x * x = x^2
- x * 7 = 7x
- -3 * x = -3x
- -3 * 7 = -21
- Result: x^2 + 4x - 21
Step 3: Set the Equation
Now we set:
x^2 - 5 = x^2 + 4x - 21
Step 4: Solve for x
- Cancel x^2 from both sides:
- -5 = 4x - 21
- Rearranging gives:
4x = 16
- Thus, x = 4.
Conclusion
The value of x in the equation is 4, which corresponds to option 'B'.
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Community Answer
What is the value of x in the given equation?(3x – 8)(3x + 2) &n...
9x^2-24x+6x-16-(8x^2-22x+4x-11) =x^2-3x+7x-21
9x^2-18x-16-8x^2+18x+11=x^2+4x-21
9x^2-8x^2-x^2-18x+18x-4x-16+11=-21
9x^2-9x^2-4x-5=-21
-4x=-21+5
x=-16/-4
x=4
9x^2-18x-16-8x^2+18x+11=x^2+4x-21
9x^2-8x^2-x^2-18x+18x-4x-16+11=-21
9x^2-9x^2-4x-5=-21
-4x=-21+5
x=-16/-4
x=4
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What is the value of x in the given equation?(3x – 8)(3x + 2) – (4x – 11)(2x + 1) = (x – 3) (x + 7)a)2b)4c)3d)5Correct answer is option 'B'. Can you explain this answer?
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