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Simplifying (c + 15)(c + -18) = 0 Reorder the terms: (15 + c)(c + -18) = 0 Reorder the terms: (15 + c)(-18 + c) = 0 Multiply (15 + c) * (-18 + c) (15(-18 + c) + c(-18 + c)) = 0 ((-18 * 15 + c * 15) + c(-18 + c)) = 0 ((-270 + 15c) + c(-18 + c)) = 0 (-270 + 15c + (-18 * c + c * c)) = 0 (-270 + 15c + (-18c + c2)) = 0 Combine like terms: 15c + -18c = -3c (-270 + -3c + c2) = 0 Solving -270 + -3c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-15 + -1c)(18 + -1c) = 0Subproblem 1
Set the factor '(-15 + -1c)' equal to zero and attempt to solve: Simplifying -15 + -1c = 0 Solving -15 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -1c = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -1c = 0 + 15 -1c = 0 + 15 Combine like terms: 0 + 15 = 15 -1c = 15 Divide each side by '-1'. c = -15 Simplifying c = -15Subproblem 2
Set the factor '(18 + -1c)' equal to zero and attempt to solve: Simplifying 18 + -1c = 0 Solving 18 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + -1c = 0 + -18 Combine like terms: 18 + -18 = 0 0 + -1c = 0 + -18 -1c = 0 + -18 Combine like terms: 0 + -18 = -18 -1c = -18 Divide each side by '-1'. c = 18 Simplifying c = 18Solution
c = {-15, 18}
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