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Simplifying (13c + 9)(4c + -5) = 0 Reorder the terms: (9 + 13c)(4c + -5) = 0 Reorder the terms: (9 + 13c)(-5 + 4c) = 0 Multiply (9 + 13c) * (-5 + 4c) (9(-5 + 4c) + 13c * (-5 + 4c)) = 0 ((-5 * 9 + 4c * 9) + 13c * (-5 + 4c)) = 0 ((-45 + 36c) + 13c * (-5 + 4c)) = 0 (-45 + 36c + (-5 * 13c + 4c * 13c)) = 0 (-45 + 36c + (-65c + 52c2)) = 0 Combine like terms: 36c + -65c = -29c (-45 + -29c + 52c2) = 0 Solving -45 + -29c + 52c2 = 0 Solving for variable 'c'. Factor a trinomial. (-9 + -13c)(5 + -4c) = 0Subproblem 1
Set the factor '(-9 + -13c)' equal to zero and attempt to solve: Simplifying -9 + -13c = 0 Solving -9 + -13c = 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 + -13c = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -13c = 0 + 9 -13c = 0 + 9 Combine like terms: 0 + 9 = 9 -13c = 9 Divide each side by '-13'. c = -0.6923076923 Simplifying c = -0.6923076923Subproblem 2
Set the factor '(5 + -4c)' equal to zero and attempt to solve: Simplifying 5 + -4c = 0 Solving 5 + -4c = 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 + -4c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -4c = 0 + -5 -4c = 0 + -5 Combine like terms: 0 + -5 = -5 -4c = -5 Divide each side by '-4'. c = 1.25 Simplifying c = 1.25Solution
c = {-0.6923076923, 1.25}
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