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Simplifying x2 + 8x + -20 = x + 10 Reorder the terms: -20 + 8x + x2 = x + 10 Reorder the terms: -20 + 8x + x2 = 10 + x Solving -20 + 8x + x2 = 10 + x Solving for variable 'x'. Reorder the terms: -20 + -10 + 8x + -1x + x2 = 10 + x + -10 + -1x Combine like terms: -20 + -10 = -30 -30 + 8x + -1x + x2 = 10 + x + -10 + -1x Combine like terms: 8x + -1x = 7x -30 + 7x + x2 = 10 + x + -10 + -1x Reorder the terms: -30 + 7x + x2 = 10 + -10 + x + -1x Combine like terms: 10 + -10 = 0 -30 + 7x + x2 = 0 + x + -1x -30 + 7x + x2 = x + -1x Combine like terms: x + -1x = 0 -30 + 7x + x2 = 0 Factor a trinomial. (-10 + -1x)(3 + -1x) = 0Subproblem 1
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 = -10Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {-10, 3}
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