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Simplifying x2 + -16 = (x + 8)(x + -8) Reorder the terms: -16 + x2 = (x + 8)(x + -8) Reorder the terms: -16 + x2 = (8 + x)(x + -8) Reorder the terms: -16 + x2 = (8 + x)(-8 + x) Multiply (8 + x) * (-8 + x) -16 + x2 = (8(-8 + x) + x(-8 + x)) -16 + x2 = ((-8 * 8 + x * 8) + x(-8 + x)) -16 + x2 = ((-64 + 8x) + x(-8 + x)) -16 + x2 = (-64 + 8x + (-8 * x + x * x)) -16 + x2 = (-64 + 8x + (-8x + x2)) Combine like terms: 8x + -8x = 0 -16 + x2 = (-64 + 0 + x2) -16 + x2 = (-64 + x2) Add '-1x2' to each side of the equation. -16 + x2 + -1x2 = -64 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 + 0 = -64 + x2 + -1x2 -16 = -64 + x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -16 = -64 + 0 -16 = -64 Solving -16 = -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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