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Simplifying 5x(2x + -1) = 30 Reorder the terms: 5x(-1 + 2x) = 30 (-1 * 5x + 2x * 5x) = 30 (-5x + 10x2) = 30 Solving -5x + 10x2 = 30 Solving for variable 'x'. Reorder the terms: -30 + -5x + 10x2 = 30 + -30 Combine like terms: 30 + -30 = 0 -30 + -5x + 10x2 = 0 Factor out the Greatest Common Factor (GCF), '5'. 5(-6 + -1x + 2x2) = 0 Factor a trinomial. 5((-3 + -2x)(2 + -1x)) = 0 Ignore the factor 5.Subproblem 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 '(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 = 2Solution
x = {-1.5, 2}
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