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Simplifying 2x(x + -5) = 5x + -18 Reorder the terms: 2x(-5 + x) = 5x + -18 (-5 * 2x + x * 2x) = 5x + -18 (-10x + 2x2) = 5x + -18 Reorder the terms: -10x + 2x2 = -18 + 5x Solving -10x + 2x2 = -18 + 5x Solving for variable 'x'. Reorder the terms: 18 + -10x + -5x + 2x2 = -18 + 5x + 18 + -5x Combine like terms: -10x + -5x = -15x 18 + -15x + 2x2 = -18 + 5x + 18 + -5x Reorder the terms: 18 + -15x + 2x2 = -18 + 18 + 5x + -5x Combine like terms: -18 + 18 = 0 18 + -15x + 2x2 = 0 + 5x + -5x 18 + -15x + 2x2 = 5x + -5x Combine like terms: 5x + -5x = 0 18 + -15x + 2x2 = 0 Factor a trinomial. (3 + -2x)(6 + -1x) = 0Subproblem 1
Set the factor '(3 + -2x)' equal to zero and attempt to solve: Simplifying 3 + -2x = 0 Solving 3 + -2x = 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 + -2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2x = 0 + -3 -2x = 0 + -3 Combine like terms: 0 + -3 = -3 -2x = -3 Divide each side by '-2'. x = 1.5 Simplifying x = 1.5Subproblem 2
Set the factor '(6 + -1x)' equal to zero and attempt to solve: Simplifying 6 + -1x = 0 Solving 6 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1x = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1x = 0 + -6 -1x = 0 + -6 Combine like terms: 0 + -6 = -6 -1x = -6 Divide each side by '-1'. x = 6 Simplifying x = 6Solution
x = {1.5, 6}
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