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Simplifying (7c + -3)(c + 8) = 0 Reorder the terms: (-3 + 7c)(c + 8) = 0 Reorder the terms: (-3 + 7c)(8 + c) = 0 Multiply (-3 + 7c) * (8 + c) (-3(8 + c) + 7c * (8 + c)) = 0 ((8 * -3 + c * -3) + 7c * (8 + c)) = 0 ((-24 + -3c) + 7c * (8 + c)) = 0 (-24 + -3c + (8 * 7c + c * 7c)) = 0 (-24 + -3c + (56c + 7c2)) = 0 Combine like terms: -3c + 56c = 53c (-24 + 53c + 7c2) = 0 Solving -24 + 53c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (-8 + -1c)(3 + -7c) = 0Subproblem 1
Set the factor '(-8 + -1c)' equal to zero and attempt to solve: Simplifying -8 + -1c = 0 Solving -8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -1c = 0 + 8 Combine like terms: -8 + 8 = 0 0 + -1c = 0 + 8 -1c = 0 + 8 Combine like terms: 0 + 8 = 8 -1c = 8 Divide each side by '-1'. c = -8 Simplifying c = -8Subproblem 2
Set the factor '(3 + -7c)' equal to zero and attempt to solve: Simplifying 3 + -7c = 0 Solving 3 + -7c = 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 + -7c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -7c = 0 + -3 -7c = 0 + -3 Combine like terms: 0 + -3 = -3 -7c = -3 Divide each side by '-7'. c = 0.4285714286 Simplifying c = 0.4285714286Solution
c = {-8, 0.4285714286}
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