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Simplifying (5c + 4)(c + -8) = 0 Reorder the terms: (4 + 5c)(c + -8) = 0 Reorder the terms: (4 + 5c)(-8 + c) = 0 Multiply (4 + 5c) * (-8 + c) (4(-8 + c) + 5c * (-8 + c)) = 0 ((-8 * 4 + c * 4) + 5c * (-8 + c)) = 0 ((-32 + 4c) + 5c * (-8 + c)) = 0 (-32 + 4c + (-8 * 5c + c * 5c)) = 0 (-32 + 4c + (-40c + 5c2)) = 0 Combine like terms: 4c + -40c = -36c (-32 + -36c + 5c2) = 0 Solving -32 + -36c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -5c)(8 + -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 '(8 + -1c)' equal to zero and attempt to solve: Simplifying 8 + -1c = 0 Solving 8 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1c = 0 + -8 -1c = 0 + -8 Combine like terms: 0 + -8 = -8 -1c = -8 Divide each side by '-1'. c = 8 Simplifying c = 8Solution
c = {-0.8, 8}
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