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Simplifying -2c(-4 + 7c) + -3c(2 + 5c) = 0 (-4 * -2c + 7c * -2c) + -3c(2 + 5c) = 0 (8c + -14c2) + -3c(2 + 5c) = 0 8c + -14c2 + (2 * -3c + 5c * -3c) = 0 8c + -14c2 + (-6c + -15c2) = 0 Reorder the terms: 8c + -6c + -14c2 + -15c2 = 0 Combine like terms: 8c + -6c = 2c 2c + -14c2 + -15c2 = 0 Combine like terms: -14c2 + -15c2 = -29c2 2c + -29c2 = 0 Solving 2c + -29c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(2 + -29c) = 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 '(2 + -29c)' equal to zero and attempt to solve: Simplifying 2 + -29c = 0 Solving 2 + -29c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -29c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -29c = 0 + -2 -29c = 0 + -2 Combine like terms: 0 + -2 = -2 -29c = -2 Divide each side by '-29'. c = 0.06896551724 Simplifying c = 0.06896551724Solution
c = {0, 0.06896551724}
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