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Simplifying 36m2nx2 + 84m2nx + -24m2n = 0 Reorder the terms: -24m2n + 84m2nx + 36m2nx2 = 0 Solving -24m2n + 84m2nx + 36m2nx2 = 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), '12m2n'. 12m2n(-2 + 7x + 3x2) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'm2n' equal to zero and attempt to solve: Simplifying m2n = 0 Solving m2n = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2n = 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 '(-2 + 7x + 3x2)' equal to zero and attempt to solve: Simplifying -2 + 7x + 3x2 = 0 Solving -2 + 7x + 3x2 = 0 Move all terms containing m to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 7x + 2 + 3x2 = 0 + 2 Reorder the terms: -2 + 2 + 7x + 3x2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 7x + 3x2 = 0 + 2 7x + 3x2 = 0 + 2 Combine like terms: 0 + 2 = 2 7x + 3x2 = 2 Add '-7x' to each side of the equation. 7x + -7x + 3x2 = 2 + -7x Combine like terms: 7x + -7x = 0 0 + 3x2 = 2 + -7x 3x2 = 2 + -7x Add '-3x2' to each side of the equation. 3x2 + -3x2 = 2 + -7x + -3x2 Combine like terms: 3x2 + -3x2 = 0 0 = 2 + -7x + -3x2 Simplifying 0 = 2 + -7x + -3x2 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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