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Simplifying c3 + -63c = 2c2 Reorder the terms: -63c + c3 = 2c2 Solving -63c + c3 = 2c2 Solving for variable 'c'. Reorder the terms: -63c + -2c2 + c3 = 2c2 + -2c2 Combine like terms: 2c2 + -2c2 = 0 -63c + -2c2 + c3 = 0 Factor out the Greatest Common Factor (GCF), 'c'. c(-63 + -2c + c2) = 0 Factor a trinomial. c((-7 + -1c)(9 + -1c)) = 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 '(-7 + -1c)' equal to zero and attempt to solve: Simplifying -7 + -1c = 0 Solving -7 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1c = 0 + 7 -1c = 0 + 7 Combine like terms: 0 + 7 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7Subproblem 3
Set the factor '(9 + -1c)' equal to zero and attempt to solve: Simplifying 9 + -1c = 0 Solving 9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1c = 0 + -9 -1c = 0 + -9 Combine like terms: 0 + -9 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9Solution
c = {0, -7, 9}
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