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Simplifying (m + -3) * x(2n + 7) = 0 Reorder the terms: (-3 + m) * x(2n + 7) = 0 Reorder the terms: (-3 + m) * x(7 + 2n) = 0 Reorder the terms for easier multiplication: x(-3 + m)(7 + 2n) = 0 Multiply (-3 + m) * (7 + 2n) x(-3(7 + 2n) + m(7 + 2n)) = 0 x((7 * -3 + 2n * -3) + m(7 + 2n)) = 0 x((-21 + -6n) + m(7 + 2n)) = 0 x(-21 + -6n + (7 * m + 2n * m)) = 0 x(-21 + -6n + (7m + 2mn)) = 0 Reorder the terms: x(-21 + 7m + 2mn + -6n) = 0 x(-21 + 7m + 2mn + -6n) = 0 (-21 * x + 7m * x + 2mn * x + -6n * x) = 0 Reorder the terms: (2mnx + 7mx + -6nx + -21x) = 0 (2mnx + 7mx + -6nx + -21x) = 0 Solving 2mnx + 7mx + -6nx + -21x = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6nx' to each side of the equation. 2mnx + 7mx + -6nx + 6nx + -21x = 0 + 6nx Combine like terms: -6nx + 6nx = 0 2mnx + 7mx + 0 + -21x = 0 + 6nx 2mnx + 7mx + -21x = 0 + 6nx Remove the zero: 2mnx + 7mx + -21x = 6nx Add '21x' to each side of the equation. 2mnx + 7mx + -21x + 21x = 6nx + 21x Combine like terms: -21x + 21x = 0 2mnx + 7mx + 0 = 6nx + 21x 2mnx + 7mx = 6nx + 21x Reorder the terms: 2mnx + 7mx + -6nx + -21x = 6nx + -6nx + 21x + -21x Combine like terms: 6nx + -6nx = 0 2mnx + 7mx + -6nx + -21x = 0 + 21x + -21x 2mnx + 7mx + -6nx + -21x = 21x + -21x Combine like terms: 21x + -21x = 0 2mnx + 7mx + -6nx + -21x = 0 Factor out the Greatest Common Factor (GCF), 'x'. x(2mn + 7m + -6n + -21) = 0Subproblem 1
Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing m to the left, all other terms to the right. Add '-1x' to each side of the equation. x + -1x = 0 + -1x Remove the zero: 0 = -1x Simplifying 0 = -1x 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 '(2mn + 7m + -6n + -21)' equal to zero and attempt to solve: Simplifying 2mn + 7m + -6n + -21 = 0 Reorder the terms: -21 + 7m + 2mn + -6n = 0 Solving -21 + 7m + 2mn + -6n = 0 Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 7m + 2mn + 21 + -6n = 0 + 21 Reorder the terms: -21 + 21 + 7m + 2mn + -6n = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 7m + 2mn + -6n = 0 + 21 7m + 2mn + -6n = 0 + 21 Combine like terms: 0 + 21 = 21 7m + 2mn + -6n = 21 Add '6n' to each side of the equation. 7m + 2mn + -6n + 6n = 21 + 6n Combine like terms: -6n + 6n = 0 7m + 2mn + 0 = 21 + 6n 7m + 2mn = 21 + 6n 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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