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