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Simplifying 8(c + 4)(c + 4) = 0 Reorder the terms: 8(4 + c)(c + 4) = 0 Reorder the terms: 8(4 + c)(4 + c) = 0 Multiply (4 + c) * (4 + c) 8(4(4 + c) + c(4 + c)) = 0 8((4 * 4 + c * 4) + c(4 + c)) = 0 8((16 + 4c) + c(4 + c)) = 0 8(16 + 4c + (4 * c + c * c)) = 0 8(16 + 4c + (4c + c2)) = 0 Combine like terms: 4c + 4c = 8c 8(16 + 8c + c2) = 0 (16 * 8 + 8c * 8 + c2 * 8) = 0 (128 + 64c + 8c2) = 0 Solving 128 + 64c + 8c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '8'. 8(16 + 8c + c2) = 0 Factor a trinomial. 8((4 + c)(4 + c)) = 0 Ignore the factor 8.Subproblem 1
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 = -4Subproblem 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 = {-4, -4}
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