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Simplifying 6cd4 + -6ch4 = 0 Solving 6cd4 + -6ch4 = 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), '6c'. 6c(d4 + -1h4) = 0 Factor a difference between two squares. 6c((d2 + h2)(d2 + -1h2)) = 0 Factor a difference between two squares. 6c((d2 + h2)((d + h)(d + -1h))) = 0 Ignore the factor 6.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 '(d2 + h2)' equal to zero and attempt to solve: Simplifying d2 + h2 = 0 Solving d2 + h2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d2' to each side of the equation. d2 + -1d2 + h2 = 0 + -1d2 Combine like terms: d2 + -1d2 = 0 0 + h2 = 0 + -1d2 h2 = 0 + -1d2 Remove the zero: h2 = -1d2 Add '-1h2' to each side of the equation. h2 + -1h2 = -1d2 + -1h2 Combine like terms: h2 + -1h2 = 0 0 = -1d2 + -1h2 Simplifying 0 = -1d2 + -1h2 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 '(d + h)' equal to zero and attempt to solve: Simplifying d + h = 0 Solving d + h = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d + h = 0 + -1d Combine like terms: d + -1d = 0 0 + h = 0 + -1d h = 0 + -1d Remove the zero: h = -1d Add '-1h' to each side of the equation. h + -1h = -1d + -1h Combine like terms: h + -1h = 0 0 = -1d + -1h Simplifying 0 = -1d + -1h 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 '(d + -1h)' equal to zero and attempt to solve: Simplifying d + -1h = 0 Solving d + -1h = 0 Move all terms containing c to the left, all other terms to the right. Add '-1d' to each side of the equation. d + -1d + -1h = 0 + -1d Combine like terms: d + -1d = 0 0 + -1h = 0 + -1d -1h = 0 + -1d Remove the zero: -1h = -1d Add 'h' to each side of the equation. -1h + h = -1d + h Combine like terms: -1h + h = 0 0 = -1d + h Simplifying 0 = -1d + h 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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