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