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Simplifying (9c + -8)(c + -4) = 0 Reorder the terms: (-8 + 9c)(c + -4) = 0 Reorder the terms: (-8 + 9c)(-4 + c) = 0 Multiply (-8 + 9c) * (-4 + c) (-8(-4 + c) + 9c * (-4 + c)) = 0 ((-4 * -8 + c * -8) + 9c * (-4 + c)) = 0 ((32 + -8c) + 9c * (-4 + c)) = 0 (32 + -8c + (-4 * 9c + c * 9c)) = 0 (32 + -8c + (-36c + 9c2)) = 0 Combine like terms: -8c + -36c = -44c (32 + -44c + 9c2) = 0 Solving 32 + -44c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + -9c)(4 + -1c) = 0Subproblem 1
Set the factor '(8 + -9c)' equal to zero and attempt to solve: Simplifying 8 + -9c = 0 Solving 8 + -9c = 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 + -9c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -9c = 0 + -8 -9c = 0 + -8 Combine like terms: 0 + -8 = -8 -9c = -8 Divide each side by '-9'. c = 0.8888888889 Simplifying c = 0.8888888889Subproblem 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 = {0.8888888889, 4}
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