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Simplifying 104 = x(x + -5) Reorder the terms: 104 = x(-5 + x) 104 = (-5 * x + x * x) 104 = (-5x + x2) Solving 104 = -5x + x2 Solving for variable 'x'. Reorder the terms: 104 + 5x + -1x2 = -5x + 5x + x2 + -1x2 Combine like terms: -5x + 5x = 0 104 + 5x + -1x2 = 0 + x2 + -1x2 104 + 5x + -1x2 = x2 + -1x2 Combine like terms: x2 + -1x2 = 0 104 + 5x + -1x2 = 0 Factor a trinomial. (13 + -1x)(8 + x) = 0Subproblem 1
Set the factor '(13 + -1x)' equal to zero and attempt to solve: Simplifying 13 + -1x = 0 Solving 13 + -1x = 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 + -1x = 0 + -13 Combine like terms: 13 + -13 = 0 0 + -1x = 0 + -13 -1x = 0 + -13 Combine like terms: 0 + -13 = -13 -1x = -13 Divide each side by '-1'. x = 13 Simplifying x = 13Subproblem 2
Set the factor '(8 + x)' equal to zero and attempt to solve: Simplifying 8 + x = 0 Solving 8 + x = 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 + x = 0 + -8 Combine like terms: 8 + -8 = 0 0 + x = 0 + -8 x = 0 + -8 Combine like terms: 0 + -8 = -8 x = -8 Simplifying x = -8Solution
x = {13, -8}
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