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Simplifying 16c4 + 64c2 + 39 = 0 Reorder the terms: 39 + 64c2 + 16c4 = 0 Solving 39 + 64c2 + 16c4 = 0 Solving for variable 'c'. Factor a trinomial. (13 + 4c2)(3 + 4c2) = 0Subproblem 1
Set the factor '(13 + 4c2)' equal to zero and attempt to solve: Simplifying 13 + 4c2 = 0 Solving 13 + 4c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 4c2 = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 4c2 = 0 + -13 4c2 = 0 + -13 Combine like terms: 0 + -13 = -13 4c2 = -13 Divide each side by '4'. c2 = -3.25 Simplifying c2 = -3.25 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 '(3 + 4c2)' equal to zero and attempt to solve: Simplifying 3 + 4c2 = 0 Solving 3 + 4c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 4c2 = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4c2 = 0 + -3 4c2 = 0 + -3 Combine like terms: 0 + -3 = -3 4c2 = -3 Divide each side by '4'. c2 = -0.75 Simplifying c2 = -0.75 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.
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