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Simplifying 100mn2x2 + -150mn2x3 + 200mn3x3 + -50mnx2 = 0 Reorder the terms: -50mnx2 + 100mn2x2 + -150mn2x3 + 200mn3x3 = 0 Solving -50mnx2 + 100mn2x2 + -150mn2x3 + 200mn3x3 = 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), '50mnx2'. 50mnx2(-1 + 2n + -3nx + 4n2x) = 0 Ignore the factor 50.Subproblem 1
Set the factor 'mnx2' equal to zero and attempt to solve: Simplifying mnx2 = 0 Solving mnx2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying mnx2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(-1 + 2n + -3nx + 4n2x)' equal to zero and attempt to solve: Simplifying -1 + 2n + -3nx + 4n2x = 0 Solving -1 + 2n + -3nx + 4n2x = 0 Move all terms containing m to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 2n + -3nx + 1 + 4n2x = 0 + 1 Reorder the terms: -1 + 1 + 2n + -3nx + 4n2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 2n + -3nx + 4n2x = 0 + 1 2n + -3nx + 4n2x = 0 + 1 Combine like terms: 0 + 1 = 1 2n + -3nx + 4n2x = 1 Add '-2n' to each side of the equation. 2n + -3nx + -2n + 4n2x = 1 + -2n Reorder the terms: 2n + -2n + -3nx + 4n2x = 1 + -2n Combine like terms: 2n + -2n = 0 0 + -3nx + 4n2x = 1 + -2n -3nx + 4n2x = 1 + -2n Add '3nx' to each side of the equation. -3nx + 3nx + 4n2x = 1 + -2n + 3nx Combine like terms: -3nx + 3nx = 0 0 + 4n2x = 1 + -2n + 3nx 4n2x = 1 + -2n + 3nx Add '-4n2x' to each side of the equation. 4n2x + -4n2x = 1 + -2n + 3nx + -4n2x Combine like terms: 4n2x + -4n2x = 0 0 = 1 + -2n + 3nx + -4n2x Simplifying 0 = 1 + -2n + 3nx + -4n2x The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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