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Simplifying c4 + -12c2 + -64 = 0 Reorder the terms: -64 + -12c2 + c4 = 0 Solving -64 + -12c2 + c4 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -1c2)(16 + -1c2) = 0 Factor a difference between two squares. (-4 + -1c2)((4 + c)(4 + -1c)) = 0Subproblem 1
Set the factor '(-4 + -1c2)' equal to zero and attempt to solve: Simplifying -4 + -1c2 = 0 Solving -4 + -1c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -1c2 = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -1c2 = 0 + 4 -1c2 = 0 + 4 Combine like terms: 0 + 4 = 4 -1c2 = 4 Divide each side by '-1'. c2 = -4 Simplifying c2 = -4 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 '(4 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Subproblem 3
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-4, 4}
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