(2x-3)(2x+5)-4x=12

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Solution for (2x-3)(2x+5)-4x=12 equation: 


Simplifying
(2x + -3)(2x + 5) + -4x = 12

Reorder the terms:
(-3 + 2x)(2x + 5) + -4x = 12

Reorder the terms:
(-3 + 2x)(5 + 2x) + -4x = 12

Multiply (-3 + 2x) * (5 + 2x)
(-3(5 + 2x) + 2x * (5 + 2x)) + -4x = 12
((5 * -3 + 2x * -3) + 2x * (5 + 2x)) + -4x = 12
((-15 + -6x) + 2x * (5 + 2x)) + -4x = 12
(-15 + -6x + (5 * 2x + 2x * 2x)) + -4x = 12
(-15 + -6x + (10x + 4x2)) + -4x = 12

Combine like terms: -6x + 10x = 4x
(-15 + 4x + 4x2) + -4x = 12

Reorder the terms:
-15 + 4x + -4x + 4x2 = 12

Combine like terms: 4x + -4x = 0
-15 + 0 + 4x2 = 12
-15 + 4x2 = 12

Solving
-15 + 4x2 = 12

Solving for variable 'x'.

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

Add '15' to each side of the equation.
-15 + 15 + 4x2 = 12 + 15

Combine like terms: -15 + 15 = 0
0 + 4x2 = 12 + 15
4x2 = 12 + 15

Combine like terms: 12 + 15 = 27
4x2 = 27

Divide each side by '4'.
x2 = 6.75

Simplifying
x2 = 6.75

Take the square root of each side:
x = {-2.598076211, 2.598076211}

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