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Simplifying 100cm3 = 5cm * 2cm Reorder the terms for easier multiplication: 100cm3 = 5 * 2cm * cm Multiply 5 * 2 100cm3 = 10cm * cm Multiply cm * cm 100cm3 = 10c2m2 Solving 100cm3 = 10c2m2 Solving for variable 'c'. Combine like terms: 10c2m2 + -10c2m2 = 0 100cm3 + -10c2m2 = 0 Factor out the Greatest Common Factor (GCF), '10cm2'. 10cm2(10m + -1c) = 0 Ignore the factor 10.Subproblem 1
Set the factor 'cm2' equal to zero and attempt to solve: Simplifying cm2 = 0 Solving cm2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying cm2 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(10m + -1c)' equal to zero and attempt to solve: Simplifying 10m + -1c = 0 Reorder the terms: -1c + 10m = 0 Solving -1c + 10m = 0 Move all terms containing c to the left, all other terms to the right. Add '-10m' to each side of the equation. -1c + 10m + -10m = 0 + -10m Combine like terms: 10m + -10m = 0 -1c + 0 = 0 + -10m -1c = 0 + -10m Remove the zero: -1c = -10m Divide each side by '-1'. c = 10m Simplifying c = 10mSolution
c = {10m}
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