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Simplifying 5c2 + 10cd + 25cd2 = 0 Reorder the terms: 10cd + 25cd2 + 5c2 = 0 Solving 10cd + 25cd2 + 5c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '5c'. 5c(2d + 5d2 + c) = 0 Ignore the factor 5.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 '(2d + 5d2 + c)' equal to zero and attempt to solve: Simplifying 2d + 5d2 + c = 0 Reorder the terms: c + 2d + 5d2 = 0 Solving c + 2d + 5d2 = 0 Move all terms containing c to the left, all other terms to the right. Add '-2d' to each side of the equation. c + 2d + -2d + 5d2 = 0 + -2d Combine like terms: 2d + -2d = 0 c + 0 + 5d2 = 0 + -2d c + 5d2 = 0 + -2d Remove the zero: c + 5d2 = -2d Add '-5d2' to each side of the equation. c + 5d2 + -5d2 = -2d + -5d2 Combine like terms: 5d2 + -5d2 = 0 c + 0 = -2d + -5d2 c = -2d + -5d2 Simplifying c = -2d + -5d2Solution
c = {0, -2d + -5d2}
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