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Simplifying (x + 2)(x + -8) = x2 + -16 Reorder the terms: (2 + x)(x + -8) = x2 + -16 Reorder the terms: (2 + x)(-8 + x) = x2 + -16 Multiply (2 + x) * (-8 + x) (2(-8 + x) + x(-8 + x)) = x2 + -16 ((-8 * 2 + x * 2) + x(-8 + x)) = x2 + -16 ((-16 + 2x) + x(-8 + x)) = x2 + -16 (-16 + 2x + (-8 * x + x * x)) = x2 + -16 (-16 + 2x + (-8x + x2)) = x2 + -16 Combine like terms: 2x + -8x = -6x (-16 + -6x + x2) = x2 + -16 Reorder the terms: -16 + -6x + x2 = -16 + x2 Add '16' to each side of the equation. -16 + -6x + 16 + x2 = -16 + 16 + x2 Reorder the terms: -16 + 16 + -6x + x2 = -16 + 16 + x2 Combine like terms: -16 + 16 = 0 0 + -6x + x2 = -16 + 16 + x2 -6x + x2 = -16 + 16 + x2 Combine like terms: -16 + 16 = 0 -6x + x2 = 0 + x2 -6x + x2 = x2 Add '-1x2' to each side of the equation. -6x + x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x + 0 = x2 + -1x2 -6x = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -6x = 0 Solving -6x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-6'. x = 0 Simplifying x = 0
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