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Simplifying (8C + 9)(5C + -4) = 0 Reorder the terms: (9 + 8C)(5C + -4) = 0 Reorder the terms: (9 + 8C)(-4 + 5C) = 0 Multiply (9 + 8C) * (-4 + 5C) (9(-4 + 5C) + 8C * (-4 + 5C)) = 0 ((-4 * 9 + 5C * 9) + 8C * (-4 + 5C)) = 0 ((-36 + 45C) + 8C * (-4 + 5C)) = 0 (-36 + 45C + (-4 * 8C + 5C * 8C)) = 0 (-36 + 45C + (-32C + 40C2)) = 0 Combine like terms: 45C + -32C = 13C (-36 + 13C + 40C2) = 0 Solving -36 + 13C + 40C2 = 0 Solving for variable 'C'. Factor a trinomial. (-9 + -8C)(4 + -5C) = 0Subproblem 1
Set the factor '(-9 + -8C)' equal to zero and attempt to solve: Simplifying -9 + -8C = 0 Solving -9 + -8C = 0 Move all terms containing C to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + -8C = 0 + 9 Combine like terms: -9 + 9 = 0 0 + -8C = 0 + 9 -8C = 0 + 9 Combine like terms: 0 + 9 = 9 -8C = 9 Divide each side by '-8'. C = -1.125 Simplifying C = -1.125Subproblem 2
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 = 0.8Solution
C = {-1.125, 0.8}
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