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Simplifying 2c2 + -7c2 + -4c = 0 Reorder the terms: -4c + 2c2 + -7c2 = 0 Combine like terms: 2c2 + -7c2 = -5c2 -4c + -5c2 = 0 Solving -4c + -5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1c'. -1c(4 + 5c) = 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 '(4 + 5c)' equal to zero and attempt to solve: Simplifying 4 + 5c = 0 Solving 4 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 5c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 5c = 0 + -4 5c = 0 + -4 Combine like terms: 0 + -4 = -4 5c = -4 Divide each side by '5'. c = -0.8 Simplifying c = -0.8Solution
c = {0, -0.8}
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