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Simplifying (2c + -9)(c + 8) = 0 Reorder the terms: (-9 + 2c)(c + 8) = 0 Reorder the terms: (-9 + 2c)(8 + c) = 0 Multiply (-9 + 2c) * (8 + c) (-9(8 + c) + 2c * (8 + c)) = 0 ((8 * -9 + c * -9) + 2c * (8 + c)) = 0 ((-72 + -9c) + 2c * (8 + c)) = 0 (-72 + -9c + (8 * 2c + c * 2c)) = 0 (-72 + -9c + (16c + 2c2)) = 0 Combine like terms: -9c + 16c = 7c (-72 + 7c + 2c2) = 0 Solving -72 + 7c + 2c2 = 0 Solving for variable 'c'. Factor a trinomial. (-8 + -1c)(9 + -2c) = 0Subproblem 1
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 = -8Subproblem 2
Set the factor '(9 + -2c)' equal to zero and attempt to solve: Simplifying 9 + -2c = 0 Solving 9 + -2c = 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 + -2c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2c = 0 + -9 -2c = 0 + -9 Combine like terms: 0 + -9 = -9 -2c = -9 Divide each side by '-2'. c = 4.5 Simplifying c = 4.5Solution
c = {-8, 4.5}
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