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Simplifying 2c2(4c + -15 + -18) = 0 Reorder the terms: 2c2(-15 + -18 + 4c) = 0 Combine like terms: -15 + -18 = -33 2c2(-33 + 4c) = 0 (-33 * 2c2 + 4c * 2c2) = 0 (-66c2 + 8c3) = 0 Solving -66c2 + 8c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '2c2'. 2c2(-33 + 4c) = 0 Ignore the factor 2.Subproblem 1
Set the factor 'c2' equal to zero and attempt to solve: Simplifying c2 = 0 Solving c2 = 0 Move all terms containing c to the left, all other terms to the right. Simplifying c2 = 0 Take the square root of each side: c = {0}Subproblem 2
Set the factor '(-33 + 4c)' equal to zero and attempt to solve: Simplifying -33 + 4c = 0 Solving -33 + 4c = 0 Move all terms containing c to the left, all other terms to the right. Add '33' to each side of the equation. -33 + 33 + 4c = 0 + 33 Combine like terms: -33 + 33 = 0 0 + 4c = 0 + 33 4c = 0 + 33 Combine like terms: 0 + 33 = 33 4c = 33 Divide each side by '4'. c = 8.25 Simplifying c = 8.25Solution
c = {0, 8.25}
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