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