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Simplifying (c + 7)(c + -12) = 0 Reorder the terms: (7 + c)(c + -12) = 0 Reorder the terms: (7 + c)(-12 + c) = 0 Multiply (7 + c) * (-12 + c) (7(-12 + c) + c(-12 + c)) = 0 ((-12 * 7 + c * 7) + c(-12 + c)) = 0 ((-84 + 7c) + c(-12 + c)) = 0 (-84 + 7c + (-12 * c + c * c)) = 0 (-84 + 7c + (-12c + c2)) = 0 Combine like terms: 7c + -12c = -5c (-84 + -5c + c2) = 0 Solving -84 + -5c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-7 + -1c)(12 + -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 '(12 + -1c)' equal to zero and attempt to solve: Simplifying 12 + -1c = 0 Solving 12 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -1c = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -1c = 0 + -12 -1c = 0 + -12 Combine like terms: 0 + -12 = -12 -1c = -12 Divide each side by '-1'. c = 12 Simplifying c = 12Solution
c = {-7, 12}
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