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Simplifying (5c2 + 7c) + -1(2c2 + 6c) = 0 Reorder the terms: (7c + 5c2) + -1(2c2 + 6c) = 0 Remove parenthesis around (7c + 5c2) 7c + 5c2 + -1(2c2 + 6c) = 0 Reorder the terms: 7c + 5c2 + -1(6c + 2c2) = 0 7c + 5c2 + (6c * -1 + 2c2 * -1) = 0 7c + 5c2 + (-6c + -2c2) = 0 Reorder the terms: 7c + -6c + 5c2 + -2c2 = 0 Combine like terms: 7c + -6c = 1c 1c + 5c2 + -2c2 = 0 Combine like terms: 5c2 + -2c2 = 3c2 1c + 3c2 = 0 Solving 1c + 3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(1 + 3c) = 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 + 3c)' equal to zero and attempt to solve: Simplifying 1 + 3c = 0 Solving 1 + 3c = 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 + 3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 3c = 0 + -1 3c = 0 + -1 Combine like terms: 0 + -1 = -1 3c = -1 Divide each side by '3'. c = -0.3333333333 Simplifying c = -0.3333333333Solution
c = {0, -0.3333333333}
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