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Simplifying (c3) + 4c + -1(4c3) = 0 c3 + 4c + -1(4c3) = 0 Remove parenthesis around (4c3) c3 + 4c + -1 * 4c3 = 0 Multiply -1 * 4 c3 + 4c + -4c3 = 0 Reorder the terms: 4c + c3 + -4c3 = 0 Combine like terms: c3 + -4c3 = -3c3 4c + -3c3 = 0 Solving 4c + -3c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(4 + -3c2) = 0Subproblem 1
Set the factor 'c' equal to zero and attempt to solve: Simplifying c = 0 Solving c = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c = 0Subproblem 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 = {0, -1.154700538, 1.154700538}
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