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Simplifying (x + -4)(x + 5) + -10 = 0 Reorder the terms: (-4 + x)(x + 5) + -10 = 0 Reorder the terms: (-4 + x)(5 + x) + -10 = 0 Multiply (-4 + x) * (5 + x) (-4(5 + x) + x(5 + x)) + -10 = 0 ((5 * -4 + x * -4) + x(5 + x)) + -10 = 0 ((-20 + -4x) + x(5 + x)) + -10 = 0 (-20 + -4x + (5 * x + x * x)) + -10 = 0 (-20 + -4x + (5x + x2)) + -10 = 0 Combine like terms: -4x + 5x = 1x (-20 + 1x + x2) + -10 = 0 Reorder the terms: -20 + -10 + 1x + x2 = 0 Combine like terms: -20 + -10 = -30 -30 + 1x + x2 = 0 Solving -30 + 1x + x2 = 0 Solving for variable 'x'. Factor a trinomial. (-6 + -1x)(5 + -1x) = 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 + -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 = 5Solution
x = {-6, 5}
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