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Simplifying 7x2 + -8xm + -12m2 = 0 Reorder the terms: -8mx + -12m2 + 7x2 = 0 Solving -8mx + -12m2 + 7x2 = 0 Solving for variable 'm'. Factor a trinomial. (-6m + -7x)(2m + -1x) = 0Subproblem 1
Set the factor '(-6m + -7x)' equal to zero and attempt to solve: Simplifying -6m + -7x = 0 Solving -6m + -7x = 0 Move all terms containing m to the left, all other terms to the right. Add '7x' to each side of the equation. -6m + -7x + 7x = 0 + 7x Combine like terms: -7x + 7x = 0 -6m + 0 = 0 + 7x -6m = 0 + 7x Remove the zero: -6m = 7x Divide each side by '-6'. m = -1.166666667x Simplifying m = -1.166666667xSubproblem 2
Set the factor '(2m + -1x)' equal to zero and attempt to solve: Simplifying 2m + -1x = 0 Solving 2m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. 2m + -1x + x = 0 + x Combine like terms: -1x + x = 0 2m + 0 = 0 + x 2m = 0 + x Remove the zero: 2m = x Divide each side by '2'. m = 0.5x Simplifying m = 0.5xSolution
m = {-1.166666667x, 0.5x}
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