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Simplifying 5x2 + -4x = 672 Reorder the terms: -4x + 5x2 = 672 Solving -4x + 5x2 = 672 Solving for variable 'x'. Reorder the terms: -672 + -4x + 5x2 = 672 + -672 Combine like terms: 672 + -672 = 0 -672 + -4x + 5x2 = 0 Factor a trinomial. (-56 + -5x)(12 + -1x) = 0Subproblem 1
Set the factor '(-56 + -5x)' equal to zero and attempt to solve: Simplifying -56 + -5x = 0 Solving -56 + -5x = 0 Move all terms containing x to the left, all other terms to the right. Add '56' to each side of the equation. -56 + 56 + -5x = 0 + 56 Combine like terms: -56 + 56 = 0 0 + -5x = 0 + 56 -5x = 0 + 56 Combine like terms: 0 + 56 = 56 -5x = 56 Divide each side by '-5'. x = -11.2 Simplifying x = -11.2Subproblem 2
Set the factor '(12 + -1x)' equal to zero and attempt to solve: Simplifying 12 + -1x = 0 Solving 12 + -1x = 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 + -1x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1x = 0 + -12 -1x = 0 + -12 Combine like terms: 0 + -12 = -12 -1x = -12 Divide each side by '-1'. x = 12 Simplifying x = 12Solution
x = {-11.2, 12}
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