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Simplifying -2x2 + 20x = 18 Reorder the terms: 20x + -2x2 = 18 Solving 20x + -2x2 = 18 Solving for variable 'x'. Reorder the terms: -18 + 20x + -2x2 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 20x + -2x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-9 + 10x + -1x2) = 0 Factor a trinomial. 2((-9 + x)(1 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-9 + x)' equal to zero and attempt to solve: Simplifying -9 + x = 0 Solving -9 + x = 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 + x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + x = 0 + 9 x = 0 + 9 Combine like terms: 0 + 9 = 9 x = 9 Simplifying x = 9Subproblem 2
Set the factor '(1 + -1x)' equal to zero and attempt to solve: Simplifying 1 + -1x = 0 Solving 1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1Solution
x = {9, 1}
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