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Simplifying (5c + -3)(7c + 6) = 0 Reorder the terms: (-3 + 5c)(7c + 6) = 0 Reorder the terms: (-3 + 5c)(6 + 7c) = 0 Multiply (-3 + 5c) * (6 + 7c) (-3(6 + 7c) + 5c * (6 + 7c)) = 0 ((6 * -3 + 7c * -3) + 5c * (6 + 7c)) = 0 ((-18 + -21c) + 5c * (6 + 7c)) = 0 (-18 + -21c + (6 * 5c + 7c * 5c)) = 0 (-18 + -21c + (30c + 35c2)) = 0 Combine like terms: -21c + 30c = 9c (-18 + 9c + 35c2) = 0 Solving -18 + 9c + 35c2 = 0 Solving for variable 'c'. Factor a trinomial. (-6 + -7c)(3 + -5c) = 0Subproblem 1
Set the factor '(-6 + -7c)' equal to zero and attempt to solve: Simplifying -6 + -7c = 0 Solving -6 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -7c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -7c = 0 + 6 -7c = 0 + 6 Combine like terms: 0 + 6 = 6 -7c = 6 Divide each side by '-7'. c = -0.8571428571 Simplifying c = -0.8571428571Subproblem 2
Set the factor '(3 + -5c)' equal to zero and attempt to solve: Simplifying 3 + -5c = 0 Solving 3 + -5c = 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 + -5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -5c = 0 + -3 -5c = 0 + -3 Combine like terms: 0 + -3 = -3 -5c = -3 Divide each side by '-5'. c = 0.6 Simplifying c = 0.6Solution
c = {-0.8571428571, 0.6}
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