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Simplifying 4m2n2 + 24m2n + -28m2 = 0 Reorder the terms: -28m2 + 24m2n + 4m2n2 = 0 Solving -28m2 + 24m2n + 4m2n2 = 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), '4m2'. 4m2(-7 + 6n + n2) = 0 Factor a trinomial. 4m2((-7 + -1n)(1 + -1n)) = 0 Ignore the factor 4.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-7 + -1n)' equal to zero and attempt to solve: Simplifying -7 + -1n = 0 Solving -7 + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1n = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1n = 0 + 7 -1n = 0 + 7 Combine like terms: 0 + 7 = 7 -1n = 7 Add 'n' to each side of the equation. -1n + n = 7 + n Combine like terms: -1n + n = 0 0 = 7 + n Simplifying 0 = 7 + n 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 '(1 + -1n)' equal to zero and attempt to solve: Simplifying 1 + -1n = 0 Solving 1 + -1n = 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 + -1n = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1n = 0 + -1 -1n = 0 + -1 Combine like terms: 0 + -1 = -1 -1n = -1 Add 'n' to each side of the equation. -1n + n = -1 + n Combine like terms: -1n + n = 0 0 = -1 + n Simplifying 0 = -1 + n 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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