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Simplifying (-1x + -5)(x + 6) = 0 Reorder the terms: (-5 + -1x)(x + 6) = 0 Reorder the terms: (-5 + -1x)(6 + x) = 0 Multiply (-5 + -1x) * (6 + x) (-5(6 + x) + -1x * (6 + x)) = 0 ((6 * -5 + x * -5) + -1x * (6 + x)) = 0 ((-30 + -5x) + -1x * (6 + x)) = 0 (-30 + -5x + (6 * -1x + x * -1x)) = 0 (-30 + -5x + (-6x + -1x2)) = 0 Combine like terms: -5x + -6x = -11x (-30 + -11x + -1x2) = 0 Solving -30 + -11x + -1x2 = 0 Solving for variable 'x'. Factor out the Greatest Common Factor (GCF), '-1'. -1(30 + 11x + x2) = 0 Factor a trinomial. -1((6 + x)(5 + x)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(6 + x)' equal to zero and attempt to solve: Simplifying 6 + x = 0 Solving 6 + x = 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 + x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + x = 0 + -6 x = 0 + -6 Combine like terms: 0 + -6 = -6 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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