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Simplifying (3 + -1c)(c + -3) = 0 Reorder the terms: (3 + -1c)(-3 + c) = 0 Multiply (3 + -1c) * (-3 + c) (3(-3 + c) + -1c * (-3 + c)) = 0 ((-3 * 3 + c * 3) + -1c * (-3 + c)) = 0 ((-9 + 3c) + -1c * (-3 + c)) = 0 (-9 + 3c + (-3 * -1c + c * -1c)) = 0 (-9 + 3c + (3c + -1c2)) = 0 Combine like terms: 3c + 3c = 6c (-9 + 6c + -1c2) = 0 Solving -9 + 6c + -1c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + c)(3 + -1c) = 0Subproblem 1
Set the factor '(-3 + c)' equal to zero and attempt to solve: Simplifying -3 + c = 0 Solving -3 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + c = 0 + 3 c = 0 + 3 Combine like terms: 0 + 3 = 3 c = 3 Simplifying c = 3Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {3, 3}
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