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Simplifying 5t2 + 28tm + 32m2 = 0 Reorder the terms: 28mt + 32m2 + 5t2 = 0 Solving 28mt + 32m2 + 5t2 = 0 Solving for variable 'm'. Factor a trinomial. (4m + t)(8m + 5t) = 0Subproblem 1
Set the factor '(4m + t)' equal to zero and attempt to solve: Simplifying 4m + t = 0 Solving 4m + t = 0 Move all terms containing m to the left, all other terms to the right. Add '-1t' to each side of the equation. 4m + t + -1t = 0 + -1t Combine like terms: t + -1t = 0 4m + 0 = 0 + -1t 4m = 0 + -1t Remove the zero: 4m = -1t Divide each side by '4'. m = -0.25t Simplifying m = -0.25tSubproblem 2
Set the factor '(8m + 5t)' equal to zero and attempt to solve: Simplifying 8m + 5t = 0 Solving 8m + 5t = 0 Move all terms containing m to the left, all other terms to the right. Add '-5t' to each side of the equation. 8m + 5t + -5t = 0 + -5t Combine like terms: 5t + -5t = 0 8m + 0 = 0 + -5t 8m = 0 + -5t Remove the zero: 8m = -5t Divide each side by '8'. m = -0.625t Simplifying m = -0.625tSolution
m = {-0.25t, -0.625t}
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