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Simplifying 4c2 + 5c + 2c = 0 Reorder the terms: 5c + 2c + 4c2 = 0 Combine like terms: 5c + 2c = 7c 7c + 4c2 = 0 Solving 7c + 4c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(7 + 4c) = 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 '(7 + 4c)' equal to zero and attempt to solve: Simplifying 7 + 4c = 0 Solving 7 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 4c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 4c = 0 + -7 4c = 0 + -7 Combine like terms: 0 + -7 = -7 4c = -7 Divide each side by '4'. c = -1.75 Simplifying c = -1.75Solution
c = {0, -1.75}
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