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Simplifying X2 + -90 = 13X Reorder the terms: -90 + X2 = 13X Solving -90 + X2 = 13X Solving for variable 'X'. Reorder the terms: -90 + -13X + X2 = 13X + -13X Combine like terms: 13X + -13X = 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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