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Simplifying (c + -3)(c + -3) = 9 Reorder the terms: (-3 + c)(c + -3) = 9 Reorder the terms: (-3 + c)(-3 + c) = 9 Multiply (-3 + c) * (-3 + c) (-3(-3 + c) + c(-3 + c)) = 9 ((-3 * -3 + c * -3) + c(-3 + c)) = 9 ((9 + -3c) + c(-3 + c)) = 9 (9 + -3c + (-3 * c + c * c)) = 9 (9 + -3c + (-3c + c2)) = 9 Combine like terms: -3c + -3c = -6c (9 + -6c + c2) = 9 Add '-9' to each side of the equation. 9 + -6c + -9 + c2 = 9 + -9 Reorder the terms: 9 + -9 + -6c + c2 = 9 + -9 Combine like terms: 9 + -9 = 0 0 + -6c + c2 = 9 + -9 -6c + c2 = 9 + -9 Combine like terms: 9 + -9 = 0 -6c + c2 = 0 Solving -6c + c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), 'c'. c(-6 + c) = 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 '(-6 + c)' equal to zero and attempt to solve: Simplifying -6 + c = 0 Solving -6 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + c = 0 + 6 c = 0 + 6 Combine like terms: 0 + 6 = 6 c = 6 Simplifying c = 6Solution
c = {0, 6}
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