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Simplifying 2c2 + c + -5(c2 + 6c) = 0 Reorder the terms: 2c2 + c + -5(6c + c2) = 0 2c2 + c + (6c * -5 + c2 * -5) = 0 2c2 + c + (-30c + -5c2) = 0 Reorder the terms: c + -30c + 2c2 + -5c2 = 0 Combine like terms: c + -30c = -29c -29c + 2c2 + -5c2 = 0 Combine like terms: 2c2 + -5c2 = -3c2 -29c + -3c2 = 0 Solving -29c + -3c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1c'. -1c(29 + 3c) = 0 Ignore the factor -1.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 '(29 + 3c)' equal to zero and attempt to solve: Simplifying 29 + 3c = 0 Solving 29 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + 3c = 0 + -29 Combine like terms: 29 + -29 = 0 0 + 3c = 0 + -29 3c = 0 + -29 Combine like terms: 0 + -29 = -29 3c = -29 Divide each side by '3'. c = -9.666666667 Simplifying c = -9.666666667Solution
c = {0, -9.666666667}
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