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Simplifying -1(x + -6)(x + 8) = 0 Reorder the terms: -1(-6 + x)(x + 8) = 0 Reorder the terms: -1(-6 + x)(8 + x) = 0 Multiply (-6 + x) * (8 + x) -1(-6(8 + x) + x(8 + x)) = 0 -1((8 * -6 + x * -6) + x(8 + x)) = 0 -1((-48 + -6x) + x(8 + x)) = 0 -1(-48 + -6x + (8 * x + x * x)) = 0 -1(-48 + -6x + (8x + x2)) = 0 Combine like terms: -6x + 8x = 2x -1(-48 + 2x + x2) = 0 (-48 * -1 + 2x * -1 + x2 * -1) = 0 (48 + -2x + -1x2) = 0 Solving 48 + -2x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {6, -8}
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