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Simplifying (c + 7)(c + -9) = 0 Reorder the terms: (7 + c)(c + -9) = 0 Reorder the terms: (7 + c)(-9 + c) = 0 Multiply (7 + c) * (-9 + c) (7(-9 + c) + c(-9 + c)) = 0 ((-9 * 7 + c * 7) + c(-9 + c)) = 0 ((-63 + 7c) + c(-9 + c)) = 0 (-63 + 7c + (-9 * c + c * c)) = 0 (-63 + 7c + (-9c + c2)) = 0 Combine like terms: 7c + -9c = -2c (-63 + -2c + c2) = 0 Solving -63 + -2c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -1c)(9 + -1c) = 0Subproblem 1
Set the factor '(-7 + -1c)' equal to zero and attempt to solve: Simplifying -7 + -1c = 0 Solving -7 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + -1c = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -1c = 0 + 7 -1c = 0 + 7 Combine like terms: 0 + 7 = 7 -1c = 7 Divide each side by '-1'. c = -7 Simplifying c = -7Subproblem 2
Set the factor '(9 + -1c)' equal to zero and attempt to solve: Simplifying 9 + -1c = 0 Solving 9 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -1c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -1c = 0 + -9 -1c = 0 + -9 Combine like terms: 0 + -9 = -9 -1c = -9 Divide each side by '-1'. c = 9 Simplifying c = 9Solution
c = {-7, 9}
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