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Simplifying (2x + -6) * m + (2x + -6) * m + (x + 3) * m + (x + 3) * m = 2600 Reorder the terms: (-6 + 2x) * m + (2x + -6) * m + (x + 3) * m + (x + 3) * m = 2600 Reorder the terms for easier multiplication: m(-6 + 2x) + (2x + -6) * m + (x + 3) * m + (x + 3) * m = 2600 (-6 * m + 2x * m) + (2x + -6) * m + (x + 3) * m + (x + 3) * m = 2600 (-6m + 2mx) + (2x + -6) * m + (x + 3) * m + (x + 3) * m = 2600 Reorder the terms: -6m + 2mx + (-6 + 2x) * m + (x + 3) * m + (x + 3) * m = 2600 Reorder the terms for easier multiplication: -6m + 2mx + m(-6 + 2x) + (x + 3) * m + (x + 3) * m = 2600 -6m + 2mx + (-6 * m + 2x * m) + (x + 3) * m + (x + 3) * m = 2600 -6m + 2mx + (-6m + 2mx) + (x + 3) * m + (x + 3) * m = 2600 Reorder the terms: -6m + 2mx + -6m + 2mx + (3 + x) * m + (x + 3) * m = 2600 Reorder the terms for easier multiplication: -6m + 2mx + -6m + 2mx + m(3 + x) + (x + 3) * m = 2600 -6m + 2mx + -6m + 2mx + (3 * m + x * m) + (x + 3) * m = 2600 -6m + 2mx + -6m + 2mx + (3m + mx) + (x + 3) * m = 2600 Reorder the terms: -6m + 2mx + -6m + 2mx + 3m + mx + (3 + x) * m = 2600 Reorder the terms for easier multiplication: -6m + 2mx + -6m + 2mx + 3m + mx + m(3 + x) = 2600 -6m + 2mx + -6m + 2mx + 3m + mx + (3 * m + x * m) = 2600 -6m + 2mx + -6m + 2mx + 3m + mx + (3m + mx) = 2600 Reorder the terms: -6m + -6m + 3m + 3m + 2mx + 2mx + mx + mx = 2600 Combine like terms: -6m + -6m = -12m -12m + 3m + 3m + 2mx + 2mx + mx + mx = 2600 Combine like terms: -12m + 3m = -9m -9m + 3m + 2mx + 2mx + mx + mx = 2600 Combine like terms: -9m + 3m = -6m -6m + 2mx + 2mx + mx + mx = 2600 Combine like terms: 2mx + 2mx = 4mx -6m + 4mx + mx + mx = 2600 Combine like terms: 4mx + mx = 5mx -6m + 5mx + mx = 2600 Combine like terms: 5mx + mx = 6mx -6m + 6mx = 2600 Solving -6m + 6mx = 2600 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -2600 + -6m + 6mx = 2600 + -2600 Combine like terms: 2600 + -2600 = 0 -2600 + -6m + 6mx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1300 + -3m + 3mx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1300 + -3m + 3mx)' equal to zero and attempt to solve: Simplifying -1300 + -3m + 3mx = 0 Solving -1300 + -3m + 3mx = 0 Move all terms containing m to the left, all other terms to the right. Add '1300' to each side of the equation. -1300 + -3m + 1300 + 3mx = 0 + 1300 Reorder the terms: -1300 + 1300 + -3m + 3mx = 0 + 1300 Combine like terms: -1300 + 1300 = 0 0 + -3m + 3mx = 0 + 1300 -3m + 3mx = 0 + 1300 Combine like terms: 0 + 1300 = 1300 -3m + 3mx = 1300 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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