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Simplifying -225c4 + 34c2 + -1 = 0 Reorder the terms: -1 + 34c2 + -225c4 = 0 Solving -1 + 34c2 + -225c4 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + 9c2)(1 + -25c2) = 0 Factor a difference between two squares. ((1 + 3c)(-1 + 3c))(1 + -25c2) = 0 Factor a difference between two squares. ((1 + 5c)(1 + -5c))(1 + 3c)(-1 + 3c) = 0Subproblem 1
Set the factor '(1 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 2
Set the factor '(-1 + 3c)' equal to zero and attempt to solve: Simplifying -1 + 3c = 0 Solving -1 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + 3c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + 3c = 0 + 1 3c = 0 + 1 Combine like terms: 0 + 1 = 1 3c = 1 Divide each side by '3'. c = 0.3333333333 Simplifying c = 0.3333333333Subproblem 3
Set the factor '(1 + 5c)' equal to zero and attempt to solve: Simplifying 1 + 5c = 0 Solving 1 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 5c = 0 + -1 5c = 0 + -1 Combine like terms: 0 + -1 = -1 5c = -1 Divide each side by '5'. c = -0.2 Simplifying c = -0.2Subproblem 4
Set the factor '(1 + -5c)' equal to zero and attempt to solve: Simplifying 1 + -5c = 0 Solving 1 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -5c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -5c = 0 + -1 -5c = 0 + -1 Combine like terms: 0 + -1 = -1 -5c = -1 Divide each side by '-5'. c = 0.2 Simplifying c = 0.2Solution
c = {-0.3333333333, 0.3333333333, -0.2, 0.2}
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