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Simplifying x(5x + -7) = 12 Reorder the terms: x(-7 + 5x) = 12 (-7 * x + 5x * x) = 12 (-7x + 5x2) = 12 Solving -7x + 5x2 = 12 Solving for variable 'x'. Reorder the terms: -12 + -7x + 5x2 = 12 + -12 Combine like terms: 12 + -12 = 0 -12 + -7x + 5x2 = 0 Factor a trinomial. (-1 + -1x)(12 + -5x) = 0Subproblem 1
Set the factor '(-1 + -1x)' equal to zero and attempt to solve: Simplifying -1 + -1x = 0 Solving -1 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -1x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 0 + 1 -1x = 0 + 1 Combine like terms: 0 + 1 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1Subproblem 2
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 = 2.4Solution
x = {-1, 2.4}
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