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Simplifying (4c + -5)(c + -3) = 0 Reorder the terms: (-5 + 4c)(c + -3) = 0 Reorder the terms: (-5 + 4c)(-3 + c) = 0 Multiply (-5 + 4c) * (-3 + c) (-5(-3 + c) + 4c * (-3 + c)) = 0 ((-3 * -5 + c * -5) + 4c * (-3 + c)) = 0 ((15 + -5c) + 4c * (-3 + c)) = 0 (15 + -5c + (-3 * 4c + c * 4c)) = 0 (15 + -5c + (-12c + 4c2)) = 0 Combine like terms: -5c + -12c = -17c (15 + -17c + 4c2) = 0 Solving 15 + -17c + 4c2 = 0 Solving for variable 'c'. Factor a trinomial. (5 + -4c)(3 + -1c) = 0Subproblem 1
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 = 1.25Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {1.25, 3}
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