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Simplifying x2 = (x + 8)(x + -2) Reorder the terms: x2 = (8 + x)(x + -2) Reorder the terms: x2 = (8 + x)(-2 + x) Multiply (8 + x) * (-2 + x) x2 = (8(-2 + x) + x(-2 + x)) x2 = ((-2 * 8 + x * 8) + x(-2 + x)) x2 = ((-16 + 8x) + x(-2 + x)) x2 = (-16 + 8x + (-2 * x + x * x)) x2 = (-16 + 8x + (-2x + x2)) Combine like terms: 8x + -2x = 6x x2 = (-16 + 6x + x2) Add '-1x2' to each side of the equation. x2 + -1x2 = -16 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -16 + 6x + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = -16 + 6x + 0 0 = -16 + 6x Solving 0 = -16 + 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 = -16 + 6x + -6x Remove the zero: -6x = -16 + 6x + -6x Combine like terms: 6x + -6x = 0 -6x = -16 + 0 -6x = -16 Divide each side by '-6'. x = 2.666666667 Simplifying x = 2.666666667
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