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Simplifying (4c + -5)(3c + -1) = 0 Reorder the terms: (-5 + 4c)(3c + -1) = 0 Reorder the terms: (-5 + 4c)(-1 + 3c) = 0 Multiply (-5 + 4c) * (-1 + 3c) (-5(-1 + 3c) + 4c * (-1 + 3c)) = 0 ((-1 * -5 + 3c * -5) + 4c * (-1 + 3c)) = 0 ((5 + -15c) + 4c * (-1 + 3c)) = 0 (5 + -15c + (-1 * 4c + 3c * 4c)) = 0 (5 + -15c + (-4c + 12c2)) = 0 Combine like terms: -15c + -4c = -19c (5 + -19c + 12c2) = 0 Solving 5 + -19c + 12c2 = 0 Solving for variable 'c'. Factor a trinomial. (1 + -3c)(5 + -4c) = 0Subproblem 1
Set the factor '(1 + -3c)' equal to zero and attempt to solve: Simplifying 1 + -3c = 0 Solving 1 + -3c = 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 + -3c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -3c = 0 + -1 -3c = 0 + -1 Combine like terms: 0 + -1 = -1 -3c = -1 Divide each side by '-3'. c = 0.3333333333 Simplifying c = 0.3333333333Subproblem 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 = {0.3333333333, 1.25}
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