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Simplifying 4c2(2c + -5) + -1c(5c2 + -8c) = 0 Reorder the terms: 4c2(-5 + 2c) + -1c(5c2 + -8c) = 0 (-5 * 4c2 + 2c * 4c2) + -1c(5c2 + -8c) = 0 (-20c2 + 8c3) + -1c(5c2 + -8c) = 0 Reorder the terms: -20c2 + 8c3 + -1c(-8c + 5c2) = 0 -20c2 + 8c3 + (-8c * -1c + 5c2 * -1c) = 0 -20c2 + 8c3 + (8c2 + -5c3) = 0 Reorder the terms: -20c2 + 8c2 + 8c3 + -5c3 = 0 Combine like terms: -20c2 + 8c2 = -12c2 -12c2 + 8c3 + -5c3 = 0 Combine like terms: 8c3 + -5c3 = 3c3 -12c2 + 3c3 = 0 Solving -12c2 + 3c3 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3c2'. 3c2(-4 + c) = 0 Ignore the factor 3.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 '(-4 + c)' equal to zero and attempt to solve: Simplifying -4 + c = 0 Solving -4 + c = 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 + c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + c = 0 + 4 c = 0 + 4 Combine like terms: 0 + 4 = 4 c = 4 Simplifying c = 4Solution
c = {0, 4}
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