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Simplifying (C + -2)(C + -5) = 0 Reorder the terms: (-2 + C)(C + -5) = 0 Reorder the terms: (-2 + C)(-5 + C) = 0 Multiply (-2 + C) * (-5 + C) (-2(-5 + C) + C(-5 + C)) = 0 ((-5 * -2 + C * -2) + C(-5 + C)) = 0 ((10 + -2C) + C(-5 + C)) = 0 (10 + -2C + (-5 * C + C * C)) = 0 (10 + -2C + (-5C + C2)) = 0 Combine like terms: -2C + -5C = -7C (10 + -7C + C2) = 0 Solving 10 + -7C + C2 = 0 Solving for variable 'C'. Factor a trinomial. (2 + -1C)(5 + -1C) = 0Subproblem 1
Set the factor '(2 + -1C)' equal to zero and attempt to solve: Simplifying 2 + -1C = 0 Solving 2 + -1C = 0 Move all terms containing C to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1C = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1C = 0 + -2 -1C = 0 + -2 Combine like terms: 0 + -2 = -2 -1C = -2 Divide each side by '-1'. C = 2 Simplifying C = 2Subproblem 2
Set the factor '(5 + -1C)' equal to zero and attempt to solve: Simplifying 5 + -1C = 0 Solving 5 + -1C = 0 Move all terms containing C to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -1C = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -1C = 0 + -5 -1C = 0 + -5 Combine like terms: 0 + -5 = -5 -1C = -5 Divide each side by '-1'. C = 5 Simplifying C = 5Solution
C = {2, 5}
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