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Simplifying x(2 + 10x) = 36 (2 * x + 10x * x) = 36 (2x + 10x2) = 36 Solving 2x + 10x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + 2x + 10x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + 2x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-18 + x + 5x2) = 0 Factor a trinomial. 2((-2 + -1x)(9 + -5x)) = 0 Ignore the factor 2.Subproblem 1
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 = -2Subproblem 2
Set the factor '(9 + -5x)' equal to zero and attempt to solve: Simplifying 9 + -5x = 0 Solving 9 + -5x = 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 + -5x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = 0 + -9 -5x = 0 + -9 Combine like terms: 0 + -9 = -9 -5x = -9 Divide each side by '-5'. x = 1.8 Simplifying x = 1.8Solution
x = {-2, 1.8}
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