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Simplifying (-6c + 5)(4c + -5) = 0 Reorder the terms: (5 + -6c)(4c + -5) = 0 Reorder the terms: (5 + -6c)(-5 + 4c) = 0 Multiply (5 + -6c) * (-5 + 4c) (5(-5 + 4c) + -6c * (-5 + 4c)) = 0 ((-5 * 5 + 4c * 5) + -6c * (-5 + 4c)) = 0 ((-25 + 20c) + -6c * (-5 + 4c)) = 0 (-25 + 20c + (-5 * -6c + 4c * -6c)) = 0 (-25 + 20c + (30c + -24c2)) = 0 Combine like terms: 20c + 30c = 50c (-25 + 50c + -24c2) = 0 Solving -25 + 50c + -24c2 = 0 Solving for variable 'c'. Factor a trinomial. (-5 + 4c)(5 + -6c) = 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 '(5 + -6c)' equal to zero and attempt to solve: Simplifying 5 + -6c = 0 Solving 5 + -6c = 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 + -6c = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -6c = 0 + -5 -6c = 0 + -5 Combine like terms: 0 + -5 = -5 -6c = -5 Divide each side by '-6'. c = 0.8333333333 Simplifying c = 0.8333333333Solution
c = {1.25, 0.8333333333}
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