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Simplifying (x + -2)(x + -3) = 56 Reorder the terms: (-2 + x)(x + -3) = 56 Reorder the terms: (-2 + x)(-3 + x) = 56 Multiply (-2 + x) * (-3 + x) (-2(-3 + x) + x(-3 + x)) = 56 ((-3 * -2 + x * -2) + x(-3 + x)) = 56 ((6 + -2x) + x(-3 + x)) = 56 (6 + -2x + (-3 * x + x * x)) = 56 (6 + -2x + (-3x + x2)) = 56 Combine like terms: -2x + -3x = -5x (6 + -5x + x2) = 56 Solving 6 + -5x + x2 = 56 Solving for variable 'x'. Reorder the terms: 6 + -56 + -5x + x2 = 56 + -56 Combine like terms: 6 + -56 = -50 -50 + -5x + x2 = 56 + -56 Combine like terms: 56 + -56 = 0 -50 + -5x + x2 = 0 Factor a trinomial. (-5 + -1x)(10 + -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 '(10 + -1x)' equal to zero and attempt to solve: Simplifying 10 + -1x = 0 Solving 10 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + -1x = 0 + -10 Combine like terms: 10 + -10 = 0 0 + -1x = 0 + -10 -1x = 0 + -10 Combine like terms: 0 + -10 = -10 -1x = -10 Divide each side by '-1'. x = 10 Simplifying x = 10Solution
x = {-5, 10}
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