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Simplifying x2 + 10mx + 25m2 = 0 Reorder the terms: 10mx + 25m2 + x2 = 0 Solving 10mx + 25m2 + x2 = 0 Solving for variable 'm'. Factor a trinomial. (5m + x)(5m + x) = 0Subproblem 1
Set the factor '(5m + x)' equal to zero and attempt to solve: Simplifying 5m + x = 0 Solving 5m + x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 5m + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 5m + 0 = 0 + -1x 5m = 0 + -1x Remove the zero: 5m = -1x Divide each side by '5'. m = -0.2x Simplifying m = -0.2xSubproblem 2
Set the factor '(5m + x)' equal to zero and attempt to solve: Simplifying 5m + x = 0 Solving 5m + x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. 5m + x + -1x = 0 + -1x Combine like terms: x + -1x = 0 5m + 0 = 0 + -1x 5m = 0 + -1x Remove the zero: 5m = -1x Divide each side by '5'. m = -0.2x Simplifying m = -0.2xSolution
m = {-0.2x, -0.2x}
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