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Simplifying (x2 + -16x) + (3x) = 90 Reorder the terms: (-16x + x2) + (3x) = 90 Remove parenthesis around (-16x + x2) -16x + x2 + (3x) = 90 Reorder the terms: -16x + (3x) + x2 = 90 Combine like terms: -16x + (3x) = -13x -13x + x2 = 90 Solving -13x + x2 = 90 Solving for variable 'x'. Reorder the terms: -90 + -13x + x2 = 90 + -90 Combine like terms: 90 + -90 = 0 -90 + -13x + x2 = 0 Factor a trinomial. (-5 + -1x)(18 + -1x) = 0Subproblem 1
Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5Subproblem 2
Set the factor '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {-5, 18}
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