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Simplifying 10x2 + -18x = 13 + -9 Reorder the terms: -18x + 10x2 = 13 + -9 Combine like terms: 13 + -9 = 4 -18x + 10x2 = 4 Solving -18x + 10x2 = 4 Solving for variable 'x'. Reorder the terms: -4 + -18x + 10x2 = 4 + -4 Combine like terms: 4 + -4 = 0 -4 + -18x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-2 + -9x + 5x2) = 0 Factor a trinomial. 2((-1 + -5x)(2 + -1x)) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1 + -5x)' equal to zero and attempt to solve: Simplifying -1 + -5x = 0 Solving -1 + -5x = 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 + -5x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -5x = 0 + 1 -5x = 0 + 1 Combine like terms: 0 + 1 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2Subproblem 2
Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2Solution
x = {-0.2, 2}
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