(2x-3)(2x+3)-x(4x-3)=15

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Solution for (2x-3)(2x+3)-x(4x-3)=15 equation:


Simplifying
(2x + -3)(2x + 3) + -1x(4x + -3) = 15

Reorder the terms:
(-3 + 2x)(2x + 3) + -1x(4x + -3) = 15

Reorder the terms:
(-3 + 2x)(3 + 2x) + -1x(4x + -3) = 15

Multiply (-3 + 2x) * (3 + 2x)
(-3(3 + 2x) + 2x * (3 + 2x)) + -1x(4x + -3) = 15
((3 * -3 + 2x * -3) + 2x * (3 + 2x)) + -1x(4x + -3) = 15
((-9 + -6x) + 2x * (3 + 2x)) + -1x(4x + -3) = 15
(-9 + -6x + (3 * 2x + 2x * 2x)) + -1x(4x + -3) = 15
(-9 + -6x + (6x + 4x2)) + -1x(4x + -3) = 15

Combine like terms: -6x + 6x = 0
(-9 + 0 + 4x2) + -1x(4x + -3) = 15
(-9 + 4x2) + -1x(4x + -3) = 15

Reorder the terms:
-9 + 4x2 + -1x(-3 + 4x) = 15
-9 + 4x2 + (-3 * -1x + 4x * -1x) = 15
-9 + 4x2 + (3x + -4x2) = 15

Reorder the terms:
-9 + 3x + 4x2 + -4x2 = 15

Combine like terms: 4x2 + -4x2 = 0
-9 + 3x + 0 = 15
-9 + 3x = 15

Solving
-9 + 3x = 15

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.
-9 + 9 + 3x = 15 + 9

Combine like terms: -9 + 9 = 0
0 + 3x = 15 + 9
3x = 15 + 9

Combine like terms: 15 + 9 = 24
3x = 24

Divide each side by '3'.
x = 8

Simplifying
x = 8

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