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Simplifying M(m + -3)(m + 2) = 0 Reorder the terms: M(-3 + m)(m + 2) = 0 Reorder the terms: M(-3 + m)(2 + m) = 0 Multiply (-3 + m) * (2 + m) M(-3(2 + m) + m(2 + m)) = 0 M((2 * -3 + m * -3) + m(2 + m)) = 0 M((-6 + -3m) + m(2 + m)) = 0 M(-6 + -3m + (2 * m + m * m)) = 0 M(-6 + -3m + (2m + m2)) = 0 Combine like terms: -3m + 2m = -1m M(-6 + -1m + m2) = 0 (-6 * M + -1m * M + m2 * M) = 0 (-6M + -1mM + m2M) = 0 Solving -6M + -1mM + m2M = 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), 'M'. M(-6 + -1m + m2) = 0 Factor a trinomial. M((-2 + -1m)(3 + -1m)) = 0Subproblem 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 '(-2 + -1m)' equal to zero and attempt to solve: Simplifying -2 + -1m = 0 Solving -2 + -1m = 0 Move all terms containing M to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1m = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1m = 0 + 2 -1m = 0 + 2 Combine like terms: 0 + 2 = 2 -1m = 2 Add 'm' to each side of the equation. -1m + m = 2 + m Combine like terms: -1m + m = 0 0 = 2 + m Simplifying 0 = 2 + m 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 '(3 + -1m)' equal to zero and attempt to solve: Simplifying 3 + -1m = 0 Solving 3 + -1m = 0 Move all terms containing M to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1m = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1m = 0 + -3 -1m = 0 + -3 Combine like terms: 0 + -3 = -3 -1m = -3 Add 'm' to each side of the equation. -1m + m = -3 + m Combine like terms: -1m + m = 0 0 = -3 + m Simplifying 0 = -3 + m 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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