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Simplifying 0 = x2 + -23x + 130 Reorder the terms: 0 = 130 + -23x + x2 Solving 0 = 130 + -23x + x2 Solving for variable 'x'. Combine like terms: 0 + -130 = -130 -130 + 23x + -1x2 = 130 + -23x + x2 + -130 + 23x + -1x2 Reorder the terms: -130 + 23x + -1x2 = 130 + -130 + -23x + 23x + x2 + -1x2 Combine like terms: 130 + -130 = 0 -130 + 23x + -1x2 = 0 + -23x + 23x + x2 + -1x2 -130 + 23x + -1x2 = -23x + 23x + x2 + -1x2 Combine like terms: -23x + 23x = 0 -130 + 23x + -1x2 = 0 + x2 + -1x2 -130 + 23x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 -130 + 23x + -1x2 = 0 Factor a trinomial. (-13 + x)(10 + -1x) = 0Subproblem 1
Set the factor '(-13 + x)' equal to zero and attempt to solve: Simplifying -13 + x = 0 Solving -13 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '13' to each side of the equation. -13 + 13 + x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + x = 0 + 13 x = 0 + 13 Combine like terms: 0 + 13 = 13 x = 13 Simplifying x = 13Subproblem 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 = {13, 10}
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