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Simplifying 3c4 + 5c2 + -12 = 0 Reorder the terms: -12 + 5c2 + 3c4 = 0 Solving -12 + 5c2 + 3c4 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -1c2)(4 + -3c2) = 0Subproblem 1
Set the factor '(-3 + -1c2)' equal to zero and attempt to solve: Simplifying -3 + -1c2 = 0 Solving -3 + -1c2 = 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 + -1c2 = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -1c2 = 0 + 3 -1c2 = 0 + 3 Combine like terms: 0 + 3 = 3 -1c2 = 3 Divide each side by '-1'. c2 = -3 Simplifying c2 = -3 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 + -3c2)' equal to zero and attempt to solve: Simplifying 4 + -3c2 = 0 Solving 4 + -3c2 = 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 + -3c2 = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3c2 = 0 + -4 -3c2 = 0 + -4 Combine like terms: 0 + -4 = -4 -3c2 = -4 Divide each side by '-3'. c2 = 1.333333333 Simplifying c2 = 1.333333333 Take the square root of each side: c = {-1.154700538, 1.154700538}Solution
c = {-1.154700538, 1.154700538}
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