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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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