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Simplifying 4c3 = 4c2 + 3c Reorder the terms: 4c3 = 3c + 4c2 Solving 4c3 = 3c + 4c2 Solving for variable 'c'. Reorder the terms: -3c + -4c2 + 4c3 = 3c + 4c2 + -3c + -4c2 Reorder the terms: -3c + -4c2 + 4c3 = 3c + -3c + 4c2 + -4c2 Combine like terms: 3c + -3c = 0 -3c + -4c2 + 4c3 = 0 + 4c2 + -4c2 -3c + -4c2 + 4c3 = 4c2 + -4c2 Combine like terms: 4c2 + -4c2 = 0 -3c + -4c2 + 4c3 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-3 + -4c + 4c2) = 0 Factor a trinomial. c((-1 + -2c)(3 + -2c)) = 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 '(-1 + -2c)' equal to zero and attempt to solve: Simplifying -1 + -2c = 0 Solving -1 + -2c = 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 + -2c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2c = 0 + 1 -2c = 0 + 1 Combine like terms: 0 + 1 = 1 -2c = 1 Divide each side by '-2'. c = -0.5 Simplifying c = -0.5Subproblem 3
Set the factor '(3 + -2c)' equal to zero and attempt to solve: Simplifying 3 + -2c = 0 Solving 3 + -2c = 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 + -2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -2c = 0 + -3 -2c = 0 + -3 Combine like terms: 0 + -3 = -3 -2c = -3 Divide each side by '-2'. c = 1.5 Simplifying c = 1.5Solution
c = {0, -0.5, 1.5}
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