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Simplifying (x + 1) * m + (3x + 1) * m = 24 Reorder the terms: (1 + x) * m + (3x + 1) * m = 24 Reorder the terms for easier multiplication: m(1 + x) + (3x + 1) * m = 24 (1 * m + x * m) + (3x + 1) * m = 24 (1m + mx) + (3x + 1) * m = 24 Reorder the terms: 1m + mx + (1 + 3x) * m = 24 Reorder the terms for easier multiplication: 1m + mx + m(1 + 3x) = 24 1m + mx + (1 * m + 3x * m) = 24 1m + mx + (1m + 3mx) = 24 Reorder the terms: 1m + 1m + mx + 3mx = 24 Combine like terms: 1m + 1m = 2m 2m + mx + 3mx = 24 Combine like terms: mx + 3mx = 4mx 2m + 4mx = 24 Solving 2m + 4mx = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -24 + 2m + 4mx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 2m + 4mx = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-12 + m + 2mx) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-12 + m + 2mx)' equal to zero and attempt to solve: Simplifying -12 + m + 2mx = 0 Solving -12 + m + 2mx = 0 Move all terms containing m to the left, all other terms to the right. Add '12' to each side of the equation. -12 + m + 12 + 2mx = 0 + 12 Reorder the terms: -12 + 12 + m + 2mx = 0 + 12 Combine like terms: -12 + 12 = 0 0 + m + 2mx = 0 + 12 m + 2mx = 0 + 12 Combine like terms: 0 + 12 = 12 m + 2mx = 12 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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