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Simplifying 2((x + 3) * m) + 2(2xm) = 24 Reorder the terms: 2((3 + x) * m) + 2(2xm) = 24 Reorder the terms for easier multiplication: 2(m(3 + x)) + 2(2xm) = 24 2((3 * m + x * m)) + 2(2xm) = 24 2((3m + mx)) + 2(2xm) = 24 (3m * 2 + mx * 2) + 2(2xm) = 24 (6m + 2mx) + 2(2xm) = 24 Remove parenthesis around (2mx) 6m + 2mx + 2 * 2mx = 24 Multiply 2 * 2 6m + 2mx + 4mx = 24 Combine like terms: 2mx + 4mx = 6mx 6m + 6mx = 24 Solving 6m + 6mx = 24 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Reorder the terms: -24 + 6m + 6mx = 24 + -24 Combine like terms: 24 + -24 = 0 -24 + 6m + 6mx = 0 Factor out the Greatest Common Factor (GCF), '6'. 6(-4 + m + mx) = 0 Ignore the factor 6.Subproblem 1
Set the factor '(-4 + m + mx)' equal to zero and attempt to solve: Simplifying -4 + m + mx = 0 Solving -4 + m + mx = 0 Move all terms containing m to the left, all other terms to the right. Add '4' to each side of the equation. -4 + m + 4 + mx = 0 + 4 Reorder the terms: -4 + 4 + m + mx = 0 + 4 Combine like terms: -4 + 4 = 0 0 + m + mx = 0 + 4 m + mx = 0 + 4 Combine like terms: 0 + 4 = 4 m + mx = 4 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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