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Simplifying 0.5m * n * 4 = 2(m + n) Reorder the terms for easier multiplication: 0.5 * 4m * n = 2(m + n) Multiply 0.5 * 4 2m * n = 2(m + n) Multiply m * n 2mn = 2(m + n) 2mn = (m * 2 + n * 2) 2mn = (2m + 2n) Solving 2mn = 2m + 2n Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -2m + 2mn = 2m + -2m + 2n Combine like terms: 2m + -2m = 0 -2m + 2mn = 0 + 2n -2m + 2mn = 2n Combine like terms: 2n + -2n = 0 -2m + 2mn + -2n = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(-1m + mn + -1n) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(-1m + mn + -1n)' equal to zero and attempt to solve: Simplifying -1m + mn + -1n = 0 Solving -1m + mn + -1n = 0 Move all terms containing m to the left, all other terms to the right. Add 'n' to each side of the equation. -1m + mn + -1n + n = 0 + n Combine like terms: -1n + n = 0 -1m + mn + 0 = 0 + n -1m + mn = 0 + n Remove the zero: -1m + mn = n 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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