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Simplifying (9c + 5)(7c + -1) = 0 Reorder the terms: (5 + 9c)(7c + -1) = 0 Reorder the terms: (5 + 9c)(-1 + 7c) = 0 Multiply (5 + 9c) * (-1 + 7c) (5(-1 + 7c) + 9c * (-1 + 7c)) = 0 ((-1 * 5 + 7c * 5) + 9c * (-1 + 7c)) = 0 ((-5 + 35c) + 9c * (-1 + 7c)) = 0 (-5 + 35c + (-1 * 9c + 7c * 9c)) = 0 (-5 + 35c + (-9c + 63c2)) = 0 Combine like terms: 35c + -9c = 26c (-5 + 26c + 63c2) = 0 Solving -5 + 26c + 63c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + -9c)(1 + -7c) = 0Subproblem 1
Set the factor '(-5 + -9c)' equal to zero and attempt to solve: Simplifying -5 + -9c = 0 Solving -5 + -9c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -9c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -9c = 0 + 5 -9c = 0 + 5 Combine like terms: 0 + 5 = 5 -9c = 5 Divide each side by '-9'. c = -0.5555555556 Simplifying c = -0.5555555556Subproblem 2
Set the factor '(1 + -7c)' equal to zero and attempt to solve: Simplifying 1 + -7c = 0 Solving 1 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -7c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -7c = 0 + -1 -7c = 0 + -1 Combine like terms: 0 + -1 = -1 -7c = -1 Divide each side by '-7'. c = 0.1428571429 Simplifying c = 0.1428571429Solution
c = {-0.5555555556, 0.1428571429}
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