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Simplifying m2 + -1mv + -56v2 = 0 Reorder the terms: -1mv + m2 + -56v2 = 0 Solving -1mv + m2 + -56v2 = 0 Solving for variable 'm'. Factor a trinomial. (m + -8v)(m + 7v) = 0Subproblem 1
Set the factor '(m + -8v)' equal to zero and attempt to solve: Simplifying m + -8v = 0 Solving m + -8v = 0 Move all terms containing m to the left, all other terms to the right. Add '8v' to each side of the equation. m + -8v + 8v = 0 + 8v Combine like terms: -8v + 8v = 0 m + 0 = 0 + 8v m = 0 + 8v Remove the zero: m = 8v Simplifying m = 8vSubproblem 2
Set the factor '(m + 7v)' equal to zero and attempt to solve: Simplifying m + 7v = 0 Solving m + 7v = 0 Move all terms containing m to the left, all other terms to the right. Add '-7v' to each side of the equation. m + 7v + -7v = 0 + -7v Combine like terms: 7v + -7v = 0 m + 0 = 0 + -7v m = 0 + -7v Remove the zero: m = -7v Simplifying m = -7vSolution
m = {8v, -7v}
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