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Simplifying 5cp4 + -5ch4 = 0 Reorder the terms: -5ch4 + 5cp4 = 0 Solving -5ch4 + 5cp4 = 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), '5c'. 5c(-1h4 + p4) = 0 Factor a difference between two squares. 5c((h2 + p2)(-1h2 + p2)) = 0 Factor a difference between two squares. 5c((h2 + p2)((h + p)(-1h + p))) = 0 Ignore the factor 5.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 '(h2 + p2)' equal to zero and attempt to solve: Simplifying h2 + p2 = 0 Solving h2 + p2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-1h2' to each side of the equation. h2 + -1h2 + p2 = 0 + -1h2 Combine like terms: h2 + -1h2 = 0 0 + p2 = 0 + -1h2 p2 = 0 + -1h2 Remove the zero: p2 = -1h2 Add '-1p2' to each side of the equation. p2 + -1p2 = -1h2 + -1p2 Combine like terms: p2 + -1p2 = 0 0 = -1h2 + -1p2 Simplifying 0 = -1h2 + -1p2 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 '(h + p)' equal to zero and attempt to solve: Simplifying h + p = 0 Solving h + p = 0 Move all terms containing c to the left, all other terms to the right. Add '-1h' to each side of the equation. h + -1h + p = 0 + -1h Combine like terms: h + -1h = 0 0 + p = 0 + -1h p = 0 + -1h Remove the zero: p = -1h Add '-1p' to each side of the equation. p + -1p = -1h + -1p Combine like terms: p + -1p = 0 0 = -1h + -1p Simplifying 0 = -1h + -1p 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 '(-1h + p)' equal to zero and attempt to solve: Simplifying -1h + p = 0 Solving -1h + p = 0 Move all terms containing c to the left, all other terms to the right. Add 'h' to each side of the equation. -1h + h + p = 0 + h Combine like terms: -1h + h = 0 0 + p = 0 + h p = 0 + h Remove the zero: p = h Add '-1p' to each side of the equation. p + -1p = h + -1p Combine like terms: p + -1p = 0 0 = h + -1p Simplifying 0 = h + -1p 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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