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Simplifying (c + 14)(c + -16) = 0 Reorder the terms: (14 + c)(c + -16) = 0 Reorder the terms: (14 + c)(-16 + c) = 0 Multiply (14 + c) * (-16 + c) (14(-16 + c) + c(-16 + c)) = 0 ((-16 * 14 + c * 14) + c(-16 + c)) = 0 ((-224 + 14c) + c(-16 + c)) = 0 (-224 + 14c + (-16 * c + c * c)) = 0 (-224 + 14c + (-16c + c2)) = 0 Combine like terms: 14c + -16c = -2c (-224 + -2c + c2) = 0 Solving -224 + -2c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (-14 + -1c)(16 + -1c) = 0Subproblem 1
Set the factor '(-14 + -1c)' equal to zero and attempt to solve: Simplifying -14 + -1c = 0 Solving -14 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + -1c = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1c = 0 + 14 -1c = 0 + 14 Combine like terms: 0 + 14 = 14 -1c = 14 Divide each side by '-1'. c = -14 Simplifying c = -14Subproblem 2
Set the factor '(16 + -1c)' equal to zero and attempt to solve: Simplifying 16 + -1c = 0 Solving 16 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + -1c = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -1c = 0 + -16 -1c = 0 + -16 Combine like terms: 0 + -16 = -16 -1c = -16 Divide each side by '-1'. c = 16 Simplifying c = 16Solution
c = {-14, 16}
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