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Simplifying (2x + 2) * m + (6x + 2) * m = 24 Reorder the terms: (2 + 2x) * m + (6x + 2) * m = 24 Reorder the terms for easier multiplication: m(2 + 2x) + (6x + 2) * m = 24 (2 * m + 2x * m) + (6x + 2) * m = 24 (2m + 2mx) + (6x + 2) * m = 24 Reorder the terms: 2m + 2mx + (2 + 6x) * m = 24 Reorder the terms for easier multiplication: 2m + 2mx + m(2 + 6x) = 24 2m + 2mx + (2 * m + 6x * m) = 24 2m + 2mx + (2m + 6mx) = 24 Reorder the terms: 2m + 2m + 2mx + 6mx = 24 Combine like terms: 2m + 2m = 4m 4m + 2mx + 6mx = 24 Combine like terms: 2mx + 6mx = 8mx 4m + 8mx = 24 Solving 4m + 8mx = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -24 + 4m + 8mx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 4m + 8mx = 0 Factor out the Greatest Common Factor (GCF), '4'. 4(-6 + m + 2mx) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-6 + m + 2mx)' equal to zero and attempt to solve: Simplifying -6 + m + 2mx = 0 Solving -6 + m + 2mx = 0 Move all terms containing m to the left, all other terms to the right. Add '6' to each side of the equation. -6 + m + 6 + 2mx = 0 + 6 Reorder the terms: -6 + 6 + m + 2mx = 0 + 6 Combine like terms: -6 + 6 = 0 0 + m + 2mx = 0 + 6 m + 2mx = 0 + 6 Combine like terms: 0 + 6 = 6 m + 2mx = 6 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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