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Simplifying x2 + -13x + 80 = 5x Reorder the terms: 80 + -13x + x2 = 5x Solving 80 + -13x + x2 = 5x Solving for variable 'x'. Reorder the terms: 80 + -13x + -5x + x2 = 5x + -5x Combine like terms: -13x + -5x = -18x 80 + -18x + x2 = 5x + -5x Combine like terms: 5x + -5x = 0 80 + -18x + x2 = 0 Factor a trinomial. (8 + -1x)(10 + -1x) = 0Subproblem 1
Set the factor '(8 + -1x)' equal to zero and attempt to solve: Simplifying 8 + -1x = 0 Solving 8 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1x = 0 + -8 -1x = 0 + -8 Combine like terms: 0 + -8 = -8 -1x = -8 Divide each side by '-1'. x = 8 Simplifying x = 8Subproblem 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 = {8, 10}
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