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Simplifying 8(16) = (x + 4)(x + -4) Multiply 8 * 16 128 = (x + 4)(x + -4) Reorder the terms: 128 = (4 + x)(x + -4) Reorder the terms: 128 = (4 + x)(-4 + x) Multiply (4 + x) * (-4 + x) 128 = (4(-4 + x) + x(-4 + x)) 128 = ((-4 * 4 + x * 4) + x(-4 + x)) 128 = ((-16 + 4x) + x(-4 + x)) 128 = (-16 + 4x + (-4 * x + x * x)) 128 = (-16 + 4x + (-4x + x2)) Combine like terms: 4x + -4x = 0 128 = (-16 + 0 + x2) 128 = (-16 + x2) Solving 128 = -16 + x2 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x2' to each side of the equation. 128 + -1x2 = -16 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 128 + -1x2 = -16 + 0 128 + -1x2 = -16 Add '-128' to each side of the equation. 128 + -128 + -1x2 = -16 + -128 Combine like terms: 128 + -128 = 0 0 + -1x2 = -16 + -128 -1x2 = -16 + -128 Combine like terms: -16 + -128 = -144 -1x2 = -144 Divide each side by '-1'. x2 = 144 Simplifying x2 = 144 Take the square root of each side: x = {-12, 12}
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