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Simplifying (5c + -2)(c + -4) = 0 Reorder the terms: (-2 + 5c)(c + -4) = 0 Reorder the terms: (-2 + 5c)(-4 + c) = 0 Multiply (-2 + 5c) * (-4 + c) (-2(-4 + c) + 5c * (-4 + c)) = 0 ((-4 * -2 + c * -2) + 5c * (-4 + c)) = 0 ((8 + -2c) + 5c * (-4 + c)) = 0 (8 + -2c + (-4 * 5c + c * 5c)) = 0 (8 + -2c + (-20c + 5c2)) = 0 Combine like terms: -2c + -20c = -22c (8 + -22c + 5c2) = 0 Solving 8 + -22c + 5c2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + -5c)(4 + -1c) = 0Subproblem 1
Set the factor '(2 + -5c)' equal to zero and attempt to solve: Simplifying 2 + -5c = 0 Solving 2 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -5c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5c = 0 + -2 -5c = 0 + -2 Combine like terms: 0 + -2 = -2 -5c = -2 Divide each side by '-5'. c = 0.4 Simplifying c = 0.4Subproblem 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 = {0.4, 4}
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