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Simplifying x(5x + -2) + -18(5x + -2) = 0 Reorder the terms: x(-2 + 5x) + -18(5x + -2) = 0 (-2 * x + 5x * x) + -18(5x + -2) = 0 (-2x + 5x2) + -18(5x + -2) = 0 Reorder the terms: -2x + 5x2 + -18(-2 + 5x) = 0 -2x + 5x2 + (-2 * -18 + 5x * -18) = 0 -2x + 5x2 + (36 + -90x) = 0 Reorder the terms: 36 + -2x + -90x + 5x2 = 0 Combine like terms: -2x + -90x = -92x 36 + -92x + 5x2 = 0 Solving 36 + -92x + 5x2 = 0 Solving for variable 'x'. Factor a trinomial. (2 + -5x)(18 + -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 '(18 + -1x)' equal to zero and attempt to solve: Simplifying 18 + -1x = 0 Solving 18 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1x = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1x = 0 + -18 -1x = 0 + -18 Combine like terms: 0 + -18 = -18 -1x = -18 Divide each side by '-1'. x = 18 Simplifying x = 18Solution
x = {0.4, 18}
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