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Simplifying x2 + -16x + -64 = (x + -8)(x + -8) Reorder the terms: -64 + -16x + x2 = (x + -8)(x + -8) Reorder the terms: -64 + -16x + x2 = (-8 + x)(x + -8) Reorder the terms: -64 + -16x + x2 = (-8 + x)(-8 + x) Multiply (-8 + x) * (-8 + x) -64 + -16x + x2 = (-8(-8 + x) + x(-8 + x)) -64 + -16x + x2 = ((-8 * -8 + x * -8) + x(-8 + x)) -64 + -16x + x2 = ((64 + -8x) + x(-8 + x)) -64 + -16x + x2 = (64 + -8x + (-8 * x + x * x)) -64 + -16x + x2 = (64 + -8x + (-8x + x2)) Combine like terms: -8x + -8x = -16x -64 + -16x + x2 = (64 + -16x + x2) Add '16x' to each side of the equation. -64 + -16x + 16x + x2 = 64 + -16x + 16x + x2 Combine like terms: -16x + 16x = 0 -64 + 0 + x2 = 64 + -16x + 16x + x2 -64 + x2 = 64 + -16x + 16x + x2 Combine like terms: -16x + 16x = 0 -64 + x2 = 64 + 0 + x2 -64 + x2 = 64 + x2 Add '-1x2' to each side of the equation. -64 + x2 + -1x2 = 64 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 + 0 = 64 + x2 + -1x2 -64 = 64 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -64 = 64 + 0 -64 = 64 Solving -64 = 64 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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