0=(2x-4)(2x+4)-96

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Solution for 0=(2x-4)(2x+4)-96 equation:


Simplifying
0 = (2x + -4)(2x + 4) + -96

Reorder the terms:
0 = (-4 + 2x)(2x + 4) + -96

Reorder the terms:
0 = (-4 + 2x)(4 + 2x) + -96

Multiply (-4 + 2x) * (4 + 2x)
0 = (-4(4 + 2x) + 2x * (4 + 2x)) + -96
0 = ((4 * -4 + 2x * -4) + 2x * (4 + 2x)) + -96
0 = ((-16 + -8x) + 2x * (4 + 2x)) + -96
0 = (-16 + -8x + (4 * 2x + 2x * 2x)) + -96
0 = (-16 + -8x + (8x + 4x2)) + -96

Combine like terms: -8x + 8x = 0
0 = (-16 + 0 + 4x2) + -96
0 = (-16 + 4x2) + -96

Reorder the terms:
0 = -16 + -96 + 4x2

Combine like terms: -16 + -96 = -112
0 = -112 + 4x2

Solving
0 = -112 + 4x2

Solving for variable 'x'.

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

Add '-4x2' to each side of the equation.
0 + -4x2 = -112 + 4x2 + -4x2
Remove the zero:
-4x2 = -112 + 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-4x2 = -112 + 0
-4x2 = -112

Divide each side by '-4'.
x2 = 28

Simplifying
x2 = 28

Take the square root of each side:
x = {-5.291502622, 5.291502622}

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