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Simplifying (-2c + -3)(-3c + -8) = 0 Reorder the terms: (-3 + -2c)(-3c + -8) = 0 Reorder the terms: (-3 + -2c)(-8 + -3c) = 0 Multiply (-3 + -2c) * (-8 + -3c) (-3(-8 + -3c) + -2c * (-8 + -3c)) = 0 ((-8 * -3 + -3c * -3) + -2c * (-8 + -3c)) = 0 ((24 + 9c) + -2c * (-8 + -3c)) = 0 (24 + 9c + (-8 * -2c + -3c * -2c)) = 0 (24 + 9c + (16c + 6c2)) = 0 Combine like terms: 9c + 16c = 25c (24 + 25c + 6c2) = 0 Solving 24 + 25c + 6c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + 3c)(3 + 2c) = 0Subproblem 1
Set the factor '(8 + 3c)' equal to zero and attempt to solve: Simplifying 8 + 3c = 0 Solving 8 + 3c = 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 + 3c = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 3c = 0 + -8 3c = 0 + -8 Combine like terms: 0 + -8 = -8 3c = -8 Divide each side by '3'. c = -2.666666667 Simplifying c = -2.666666667Subproblem 2
Set the factor '(3 + 2c)' equal to zero and attempt to solve: Simplifying 3 + 2c = 0 Solving 3 + 2c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2c = 0 + -3 2c = 0 + -3 Combine like terms: 0 + -3 = -3 2c = -3 Divide each side by '2'. c = -1.5 Simplifying c = -1.5Solution
c = {-2.666666667, -1.5}
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