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Simplifying -1(x + 5)(x + -6) = 0 Reorder the terms: -1(5 + x)(x + -6) = 0 Reorder the terms: -1(5 + x)(-6 + x) = 0 Multiply (5 + x) * (-6 + x) -1(5(-6 + x) + x(-6 + x)) = 0 -1((-6 * 5 + x * 5) + x(-6 + x)) = 0 -1((-30 + 5x) + x(-6 + x)) = 0 -1(-30 + 5x + (-6 * x + x * x)) = 0 -1(-30 + 5x + (-6x + x2)) = 0 Combine like terms: 5x + -6x = -1x -1(-30 + -1x + x2) = 0 (-30 * -1 + -1x * -1 + x2 * -1) = 0 (30 + 1x + -1x2) = 0 Solving 30 + 1x + -1x2 = 0 Solving for variable 'x'. Factor a trinomial. (6 + -1x)(5 + 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 '(5 + x)' equal to zero and attempt to solve: Simplifying 5 + x = 0 Solving 5 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + x = 0 + -5 x = 0 + -5 Combine like terms: 0 + -5 = -5 x = -5 Simplifying x = -5Solution
x = {6, -5}
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