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Simplifying (x + 6)(x + -5) = -10 Reorder the terms: (6 + x)(x + -5) = -10 Reorder the terms: (6 + x)(-5 + x) = -10 Multiply (6 + x) * (-5 + x) (6(-5 + x) + x(-5 + x)) = -10 ((-5 * 6 + x * 6) + x(-5 + x)) = -10 ((-30 + 6x) + x(-5 + x)) = -10 (-30 + 6x + (-5 * x + x * x)) = -10 (-30 + 6x + (-5x + x2)) = -10 Combine like terms: 6x + -5x = 1x (-30 + 1x + x2) = -10 Solving -30 + 1x + x2 = -10 Solving for variable 'x'. Reorder the terms: -30 + 10 + 1x + x2 = -10 + 10 Combine like terms: -30 + 10 = -20 -20 + 1x + x2 = -10 + 10 Combine like terms: -10 + 10 = 0 -20 + 1x + x2 = 0 Factor a trinomial. (-5 + -1x)(4 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(4 + -1x)' equal to zero and attempt to solve: Simplifying 4 + -1x = 0 Solving 4 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 0 + -4 -1x = 0 + -4 Combine like terms: 0 + -4 = -4 -1x = -4 Divide each side by '-1'. x = 4 Simplifying x = 4Solution
x = {-5, 4}
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