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Simplifying (c + 3)(c + -15) = 0 Reorder the terms: (3 + c)(c + -15) = 0 Reorder the terms: (3 + c)(-15 + c) = 0 Multiply (3 + c) * (-15 + c) (3(-15 + c) + c(-15 + c)) = 0 ((-15 * 3 + c * 3) + c(-15 + c)) = 0 ((-45 + 3c) + c(-15 + c)) = 0 (-45 + 3c + (-15 * c + c * c)) = 0 (-45 + 3c + (-15c + c2)) = 0 Combine like terms: 3c + -15c = -12c (-45 + -12c + c2) = 0 Solving -45 + -12c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -1c)(15 + -1c) = 0Subproblem 1
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 = -3Subproblem 2
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 = 15Solution
c = {-3, 15}
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