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Simplifying 3m3 = 30cm * 40cm Reorder the terms for easier multiplication: 3m3 = 30 * 40cm * cm Multiply 30 * 40 3m3 = 1200cm * cm Multiply cm * cm 3m3 = 1200c2m2 Solving 3m3 = 1200c2m2 Solving for variable 'm'. Reorder the terms: -1200c2m2 + 3m3 = 1200c2m2 + -1200c2m2 Combine like terms: 1200c2m2 + -1200c2m2 = 0 -1200c2m2 + 3m3 = 0 Factor out the Greatest Common Factor (GCF), '3m2'. 3m2(-400c2 + m) = 0 Ignore the factor 3.Subproblem 1
Set the factor 'm2' equal to zero and attempt to solve: Simplifying m2 = 0 Solving m2 = 0 Move all terms containing m to the left, all other terms to the right. Simplifying m2 = 0 Take the square root of each side: m = {0}Subproblem 2
Set the factor '(-400c2 + m)' equal to zero and attempt to solve: Simplifying -400c2 + m = 0 Solving -400c2 + m = 0 Move all terms containing m to the left, all other terms to the right. Add '400c2' to each side of the equation. -400c2 + 400c2 + m = 0 + 400c2 Combine like terms: -400c2 + 400c2 = 0 0 + m = 0 + 400c2 m = 0 + 400c2 Remove the zero: m = 400c2 Simplifying m = 400c2Solution
m = {0, 400c2}
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