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Simplifying (-4 + -5c)(6 + -1c) = 0 Multiply (-4 + -5c) * (6 + -1c) (-4(6 + -1c) + -5c * (6 + -1c)) = 0 ((6 * -4 + -1c * -4) + -5c * (6 + -1c)) = 0 ((-24 + 4c) + -5c * (6 + -1c)) = 0 (-24 + 4c + (6 * -5c + -1c * -5c)) = 0 (-24 + 4c + (-30c + 5c2)) = 0 Combine like terms: 4c + -30c = -26c (-24 + -26c + 5c2) = 0 Solving -24 + -26c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -5c)(6 + -1c) = 0Subproblem 1
Set the factor '(-4 + -5c)' equal to zero and attempt to solve: Simplifying -4 + -5c = 0 Solving -4 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -5c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -5c = 0 + 4 -5c = 0 + 4 Combine like terms: 0 + 4 = 4 -5c = 4 Divide each side by '-5'. c = -0.8 Simplifying c = -0.8Subproblem 2
Set the factor '(6 + -1c)' equal to zero and attempt to solve: Simplifying 6 + -1c = 0 Solving 6 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -1c = 0 + -6 Combine like terms: 6 + -6 = 0 0 + -1c = 0 + -6 -1c = 0 + -6 Combine like terms: 0 + -6 = -6 -1c = -6 Divide each side by '-1'. c = 6 Simplifying c = 6Solution
c = {-0.8, 6}
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