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Simplifying 34x(56m + 5) + -56m = 200x + 78 Reorder the terms: 34x(5 + 56m) + -56m = 200x + 78 (5 * 34x + 56m * 34x) + -56m = 200x + 78 Reorder the terms: (1904mx + 170x) + -56m = 200x + 78 (1904mx + 170x) + -56m = 200x + 78 Reorder the terms: -56m + 1904mx + 170x = 200x + 78 Reorder the terms: -56m + 1904mx + 170x = 78 + 200x Solving -56m + 1904mx + 170x = 78 + 200x Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-170x' to each side of the equation. -56m + 1904mx + 170x + -170x = 78 + 200x + -170x Combine like terms: 170x + -170x = 0 -56m + 1904mx + 0 = 78 + 200x + -170x -56m + 1904mx = 78 + 200x + -170x Combine like terms: 200x + -170x = 30x -56m + 1904mx = 78 + 30x Reorder the terms: -78 + -56m + 1904mx + -30x = 78 + 30x + -78 + -30x Reorder the terms: -78 + -56m + 1904mx + -30x = 78 + -78 + 30x + -30x Combine like terms: 78 + -78 = 0 -78 + -56m + 1904mx + -30x = 0 + 30x + -30x -78 + -56m + 1904mx + -30x = 30x + -30x Combine like terms: 30x + -30x = 0 -78 + -56m + 1904mx + -30x = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-39 + -28m + 952mx + -15x) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-39 + -28m + 952mx + -15x)' equal to zero and attempt to solve: Simplifying -39 + -28m + 952mx + -15x = 0 Solving -39 + -28m + 952mx + -15x = 0 Move all terms containing m to the left, all other terms to the right. Add '39' to each side of the equation. -39 + -28m + 952mx + 39 + -15x = 0 + 39 Reorder the terms: -39 + 39 + -28m + 952mx + -15x = 0 + 39 Combine like terms: -39 + 39 = 0 0 + -28m + 952mx + -15x = 0 + 39 -28m + 952mx + -15x = 0 + 39 Combine like terms: 0 + 39 = 39 -28m + 952mx + -15x = 39 Add '15x' to each side of the equation. -28m + 952mx + -15x + 15x = 39 + 15x Combine like terms: -15x + 15x = 0 -28m + 952mx + 0 = 39 + 15x -28m + 952mx = 39 + 15x 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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