(2x-3)(2x+3)-16=0

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Solution for (2x-3)(2x+3)-16=0 equation: 


Simplifying
(2x + -3)(2x + 3) + -16 = 0

Reorder the terms:
(-3 + 2x)(2x + 3) + -16 = 0

Reorder the terms:
(-3 + 2x)(3 + 2x) + -16 = 0

Multiply (-3 + 2x) * (3 + 2x)
(-3(3 + 2x) + 2x * (3 + 2x)) + -16 = 0
((3 * -3 + 2x * -3) + 2x * (3 + 2x)) + -16 = 0
((-9 + -6x) + 2x * (3 + 2x)) + -16 = 0
(-9 + -6x + (3 * 2x + 2x * 2x)) + -16 = 0
(-9 + -6x + (6x + 4x2)) + -16 = 0

Combine like terms: -6x + 6x = 0
(-9 + 0 + 4x2) + -16 = 0
(-9 + 4x2) + -16 = 0

Reorder the terms:
-9 + -16 + 4x2 = 0

Combine like terms: -9 + -16 = -25
-25 + 4x2 = 0

Solving
-25 + 4x2 = 0

Solving for variable 'x'.

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

Add '25' to each side of the equation.
-25 + 25 + 4x2 = 0 + 25

Combine like terms: -25 + 25 = 0
0 + 4x2 = 0 + 25
4x2 = 0 + 25

Combine like terms: 0 + 25 = 25
4x2 = 25

Divide each side by '4'.
x2 = 6.25

Simplifying
x2 = 6.25

Take the square root of each side:
x = {-2.5, 2.5}

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