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Simplifying (c + -1)(c + -6) = 0 Reorder the terms: (-1 + c)(c + -6) = 0 Reorder the terms: (-1 + c)(-6 + c) = 0 Multiply (-1 + c) * (-6 + c) (-1(-6 + c) + c(-6 + c)) = 0 ((-6 * -1 + c * -1) + c(-6 + c)) = 0 ((6 + -1c) + c(-6 + c)) = 0 (6 + -1c + (-6 * c + c * c)) = 0 (6 + -1c + (-6c + c2)) = 0 Combine like terms: -1c + -6c = -7c (6 + -7c + c2) = 0 Solving 6 + -7c + c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -1c)(6 + -1c) = 0Subproblem 1
Set the factor '(1 + -1c)' equal to zero and attempt to solve: Simplifying 1 + -1c = 0 Solving 1 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1c = 0 + -1 -1c = 0 + -1 Combine like terms: 0 + -1 = -1 -1c = -1 Divide each side by '-1'. c = 1 Simplifying c = 1Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {1, 6}
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