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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 '16' to each side of the equation. -16 + 6x + 16 + x2 = -16 + 6x + 16 + x2 Reorder the terms: -16 + 16 + 6x + x2 = -16 + 6x + 16 + x2 Combine like terms: -16 + 16 = 0 0 + 6x + x2 = -16 + 6x + 16 + x2 6x + x2 = -16 + 6x + 16 + x2 Reorder the terms: 6x + x2 = -16 + 16 + 6x + x2 Combine like terms: -16 + 16 = 0 6x + x2 = 0 + 6x + x2 6x + x2 = 6x + x2 Add '-6x' to each side of the equation. 6x + -6x + x2 = 6x + -6x + x2 Combine like terms: 6x + -6x = 0 0 + x2 = 6x + -6x + x2 x2 = 6x + -6x + x2 Combine like terms: 6x + -6x = 0 x2 = 0 + x2 x2 = x2 Add '-1x2' to each side of the equation. x2 + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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