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Simplifying (C + -3)(C + -7) = 0 Reorder the terms: (-3 + C)(C + -7) = 0 Reorder the terms: (-3 + C)(-7 + C) = 0 Multiply (-3 + C) * (-7 + C) (-3(-7 + C) + C(-7 + C)) = 0 ((-7 * -3 + C * -3) + C(-7 + C)) = 0 ((21 + -3C) + C(-7 + C)) = 0 (21 + -3C + (-7 * C + C * C)) = 0 (21 + -3C + (-7C + C2)) = 0 Combine like terms: -3C + -7C = -10C (21 + -10C + C2) = 0 Solving 21 + -10C + C2 = 0 Solving for variable 'C'. Factor a trinomial. (3 + -1C)(7 + -1C) = 0Subproblem 1
Set the factor '(3 + -1C)' equal to zero and attempt to solve: Simplifying 3 + -1C = 0 Solving 3 + -1C = 0 Move all terms containing C to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1C = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1C = 0 + -3 -1C = 0 + -3 Combine like terms: 0 + -3 = -3 -1C = -3 Divide each side by '-1'. C = 3 Simplifying C = 3Subproblem 2
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 = 7Solution
C = {3, 7}
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