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Simplifying 5x2 = 43x + 18 Reorder the terms: 5x2 = 18 + 43x Solving 5x2 = 18 + 43x Solving for variable 'x'. Reorder the terms: -18 + -43x + 5x2 = 18 + 43x + -18 + -43x Reorder the terms: -18 + -43x + 5x2 = 18 + -18 + 43x + -43x Combine like terms: 18 + -18 = 0 -18 + -43x + 5x2 = 0 + 43x + -43x -18 + -43x + 5x2 = 43x + -43x Combine like terms: 43x + -43x = 0 -18 + -43x + 5x2 = 0 Factor a trinomial. (-2 + -5x)(9 + -1x) = 0Subproblem 1
Set the factor '(-2 + -5x)' equal to zero and attempt to solve: Simplifying -2 + -5x = 0 Solving -2 + -5x = 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 + -5x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = 0 + 2 -5x = 0 + 2 Combine like terms: 0 + 2 = 2 -5x = 2 Divide each side by '-5'. x = -0.4 Simplifying x = -0.4Subproblem 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 = {-0.4, 9}
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