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Simplifying 8cg4 + -8cm4 = 0 Solving 8cg4 + -8cm4 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Factor out the Greatest Common Factor (GCF), '8c'. 8c(g4 + -1m4) = 0 Factor a difference between two squares. 8c((g2 + m2)(g2 + -1m2)) = 0 Factor a difference between two squares. 8c((g2 + m2)((g + m)(g + -1m))) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 2
Set the factor '(g2 + m2)' equal to zero and attempt to solve: Simplifying g2 + m2 = 0 Solving g2 + m2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1g2' to each side of the equation. g2 + -1g2 + m2 = 0 + -1g2 Combine like terms: g2 + -1g2 = 0 0 + m2 = 0 + -1g2 m2 = 0 + -1g2 Remove the zero: m2 = -1g2 Add '-1m2' to each side of the equation. m2 + -1m2 = -1g2 + -1m2 Combine like terms: m2 + -1m2 = 0 0 = -1g2 + -1m2 Simplifying 0 = -1g2 + -1m2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(g + m)' equal to zero and attempt to solve: Simplifying g + m = 0 Solving g + m = 0 Move all terms containing c to the left, all other terms to the right. Add '-1g' to each side of the equation. g + -1g + m = 0 + -1g Combine like terms: g + -1g = 0 0 + m = 0 + -1g m = 0 + -1g Remove the zero: m = -1g Add '-1m' to each side of the equation. m + -1m = -1g + -1m Combine like terms: m + -1m = 0 0 = -1g + -1m Simplifying 0 = -1g + -1m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 4
Set the factor '(g + -1m)' equal to zero and attempt to solve: Simplifying g + -1m = 0 Solving g + -1m = 0 Move all terms containing c to the left, all other terms to the right. Add '-1g' to each side of the equation. g + -1g + -1m = 0 + -1g Combine like terms: g + -1g = 0 0 + -1m = 0 + -1g -1m = 0 + -1g Remove the zero: -1m = -1g Add 'm' to each side of the equation. -1m + m = -1g + m Combine like terms: -1m + m = 0 0 = -1g + m Simplifying 0 = -1g + m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
c = {0}
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