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Simplifying 2c(9 + -5c) + 6(c2 + -1c) = 0 (9 * 2c + -5c * 2c) + 6(c2 + -1c) = 0 (18c + -10c2) + 6(c2 + -1c) = 0 Reorder the terms: 18c + -10c2 + 6(-1c + c2) = 0 18c + -10c2 + (-1c * 6 + c2 * 6) = 0 18c + -10c2 + (-6c + 6c2) = 0 Reorder the terms: 18c + -6c + -10c2 + 6c2 = 0 Combine like terms: 18c + -6c = 12c 12c + -10c2 + 6c2 = 0 Combine like terms: -10c2 + 6c2 = -4c2 12c + -4c2 = 0 Solving 12c + -4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4c'. 4c(3 + -1c) = 0 Ignore the factor 4.Subproblem 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 '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {0, 3}
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