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Simplifying x(5x + -3) = 36 Reorder the terms: x(-3 + 5x) = 36 (-3 * x + 5x * x) = 36 (-3x + 5x2) = 36 Solving -3x + 5x2 = 36 Solving for variable 'x'. Reorder the terms: -36 + -3x + 5x2 = 36 + -36 Combine like terms: 36 + -36 = 0 -36 + -3x + 5x2 = 0 Factor a trinomial. (-12 + -5x)(3 + -1x) = 0Subproblem 1
Set the factor '(-12 + -5x)' equal to zero and attempt to solve: Simplifying -12 + -5x = 0 Solving -12 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -5x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -5x = 0 + 12 -5x = 0 + 12 Combine like terms: 0 + 12 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4Subproblem 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 = {-2.4, 3}
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