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Simplifying 5x2 = 18x + -9 Reorder the terms: 5x2 = -9 + 18x Solving 5x2 = -9 + 18x Solving for variable 'x'. Reorder the terms: 9 + -18x + 5x2 = -9 + 18x + 9 + -18x Reorder the terms: 9 + -18x + 5x2 = -9 + 9 + 18x + -18x Combine like terms: -9 + 9 = 0 9 + -18x + 5x2 = 0 + 18x + -18x 9 + -18x + 5x2 = 18x + -18x Combine like terms: 18x + -18x = 0 9 + -18x + 5x2 = 0 Factor a trinomial. (3 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(3 + -5x)' equal to zero and attempt to solve: Simplifying 3 + -5x = 0 Solving 3 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -5x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 0 + -3 -5x = 0 + -3 Combine like terms: 0 + -3 = -3 -5x = -3 Divide each side by '-5'. x = 0.6 Simplifying x = 0.6Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve: Simplifying 3 + -1x = 0 Solving 3 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1x = 0 + -3 -1x = 0 + -3 Combine like terms: 0 + -3 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3Solution
x = {0.6, 3}
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