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Simplifying (5c + 4)(c + -4) = 0 Reorder the terms: (4 + 5c)(c + -4) = 0 Reorder the terms: (4 + 5c)(-4 + c) = 0 Multiply (4 + 5c) * (-4 + c) (4(-4 + c) + 5c * (-4 + c)) = 0 ((-4 * 4 + c * 4) + 5c * (-4 + c)) = 0 ((-16 + 4c) + 5c * (-4 + c)) = 0 (-16 + 4c + (-4 * 5c + c * 5c)) = 0 (-16 + 4c + (-20c + 5c2)) = 0 Combine like terms: 4c + -20c = -16c (-16 + -16c + 5c2) = 0 Solving -16 + -16c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -5c)(4 + -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 '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-0.8, 4}
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