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Simplifying x(2x + -28) = -90 Reorder the terms: x(-28 + 2x) = -90 (-28 * x + 2x * x) = -90 (-28x + 2x2) = -90 Solving -28x + 2x2 = -90 Solving for variable 'x'. Reorder the terms: 90 + -28x + 2x2 = -90 + 90 Combine like terms: -90 + 90 = 0 90 + -28x + 2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(45 + -14x + x2) = 0 Factor a trinomial. 2((5 + -1x)(9 + -1x)) = 0 Ignore the factor 2.Subproblem 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 '(9 + -1x)' equal to zero and attempt to solve: Simplifying 9 + -1x = 0 Solving 9 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 0 + -9 -1x = 0 + -9 Combine like terms: 0 + -9 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9Solution
x = {5, 9}
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