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Simplifying (-5c + -9)(7c + 9) = 0 Reorder the terms: (-9 + -5c)(7c + 9) = 0 Reorder the terms: (-9 + -5c)(9 + 7c) = 0 Multiply (-9 + -5c) * (9 + 7c) (-9(9 + 7c) + -5c * (9 + 7c)) = 0 ((9 * -9 + 7c * -9) + -5c * (9 + 7c)) = 0 ((-81 + -63c) + -5c * (9 + 7c)) = 0 (-81 + -63c + (9 * -5c + 7c * -5c)) = 0 (-81 + -63c + (-45c + -35c2)) = 0 Combine like terms: -63c + -45c = -108c (-81 + -108c + -35c2) = 0 Solving -81 + -108c + -35c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1'. -1(81 + 108c + 35c2) = 0 Factor a trinomial. -1((9 + 5c)(9 + 7c)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(9 + 5c)' equal to zero and attempt to solve: Simplifying 9 + 5c = 0 Solving 9 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 5c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 5c = 0 + -9 5c = 0 + -9 Combine like terms: 0 + -9 = -9 5c = -9 Divide each side by '5'. c = -1.8 Simplifying c = -1.8Subproblem 2
Set the factor '(9 + 7c)' equal to zero and attempt to solve: Simplifying 9 + 7c = 0 Solving 9 + 7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 7c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 7c = 0 + -9 7c = 0 + -9 Combine like terms: 0 + -9 = -9 7c = -9 Divide each side by '7'. c = -1.285714286 Simplifying c = -1.285714286Solution
c = {-1.8, -1.285714286}
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