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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 = -4c (-21 + -4c + c2) = 0 Solving -21 + -4c + 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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