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Simplifying x2 + 2mx + -35m2 = 0 Reorder the terms: 2mx + -35m2 + x2 = 0 Solving 2mx + -35m2 + x2 = 0 Solving for variable 'm'. Factor a trinomial. (-7m + -1x)(5m + -1x) = 0Subproblem 1
Set the factor '(-7m + -1x)' equal to zero and attempt to solve: Simplifying -7m + -1x = 0 Solving -7m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. -7m + -1x + x = 0 + x Combine like terms: -1x + x = 0 -7m + 0 = 0 + x -7m = 0 + x Remove the zero: -7m = x Divide each side by '-7'. m = -0.1428571429x Simplifying m = -0.1428571429xSubproblem 2
Set the factor '(5m + -1x)' equal to zero and attempt to solve: Simplifying 5m + -1x = 0 Solving 5m + -1x = 0 Move all terms containing m to the left, all other terms to the right. Add 'x' to each side of the equation. 5m + -1x + x = 0 + x Combine like terms: -1x + x = 0 5m + 0 = 0 + x 5m = 0 + x Remove the zero: 5m = x Divide each side by '5'. m = 0.2x Simplifying m = 0.2xSolution
m = {-0.1428571429x, 0.2x}
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