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Simplifying m(3v + -3)(4v + -5) = 0 Reorder the terms: m(-3 + 3v)(4v + -5) = 0 Reorder the terms: m(-3 + 3v)(-5 + 4v) = 0 Multiply (-3 + 3v) * (-5 + 4v) m(-3(-5 + 4v) + 3v * (-5 + 4v)) = 0 m((-5 * -3 + 4v * -3) + 3v * (-5 + 4v)) = 0 m((15 + -12v) + 3v * (-5 + 4v)) = 0 m(15 + -12v + (-5 * 3v + 4v * 3v)) = 0 m(15 + -12v + (-15v + 12v2)) = 0 Combine like terms: -12v + -15v = -27v m(15 + -27v + 12v2) = 0 (15 * m + -27v * m + 12v2 * m) = 0 (15m + -27mv + 12mv2) = 0 Solving 15m + -27mv + 12mv2 = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '3m'. 3m(5 + -9v + 4v2) = 0 Factor a trinomial. 3m((1 + -1v)(5 + -4v)) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm' equal to zero and attempt to solve: Simplifying m = 0 Solving m = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m = 0Subproblem 2
Set the factor '(1 + -1v)' equal to zero and attempt to solve: Simplifying 1 + -1v = 0 Solving 1 + -1v = 0 Move all terms containing m to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1v = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1v = 0 + -1 -1v = 0 + -1 Combine like terms: 0 + -1 = -1 -1v = -1 Add 'v' to each side of the equation. -1v + v = -1 + v Combine like terms: -1v + v = 0 0 = -1 + v Simplifying 0 = -1 + v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(5 + -4v)' equal to zero and attempt to solve: Simplifying 5 + -4v = 0 Solving 5 + -4v = 0 Move all terms containing m to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -4v = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4v = 0 + -5 -4v = 0 + -5 Combine like terms: 0 + -5 = -5 -4v = -5 Add '4v' to each side of the equation. -4v + 4v = -5 + 4v Combine like terms: -4v + 4v = 0 0 = -5 + 4v Simplifying 0 = -5 + 4v The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
m = {0}
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