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Simplifying 16c4 + 23c2 = 18 Reorder the terms: 23c2 + 16c4 = 18 Solving 23c2 + 16c4 = 18 Solving for variable 'c'. Reorder the terms: -18 + 23c2 + 16c4 = 18 + -18 Combine like terms: 18 + -18 = 0 -18 + 23c2 + 16c4 = 0 Factor a trinomial. (-2 + -1c2)(9 + -16c2) = 0 Factor a difference between two squares. (-2 + -1c2)((3 + 4c)(3 + -4c)) = 0Subproblem 1
Set the factor '(-2 + -1c2)' equal to zero and attempt to solve: Simplifying -2 + -1c2 = 0 Solving -2 + -1c2 = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -1c2 = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c2 = 0 + 2 -1c2 = 0 + 2 Combine like terms: 0 + 2 = 2 -1c2 = 2 Divide each side by '-1'. c2 = -2 Simplifying c2 = -2 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 + 4c)' equal to zero and attempt to solve: Simplifying 3 + 4c = 0 Solving 3 + 4c = 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 + 4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4c = 0 + -3 4c = 0 + -3 Combine like terms: 0 + -3 = -3 4c = -3 Divide each side by '4'. c = -0.75 Simplifying c = -0.75Subproblem 3
Set the factor '(3 + -4c)' equal to zero and attempt to solve: Simplifying 3 + -4c = 0 Solving 3 + -4c = 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 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75Solution
c = {-0.75, 0.75}
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