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Simplifying (3c + -8)(3c + -8) = 0 Reorder the terms: (-8 + 3c)(3c + -8) = 0 Reorder the terms: (-8 + 3c)(-8 + 3c) = 0 Multiply (-8 + 3c) * (-8 + 3c) (-8(-8 + 3c) + 3c * (-8 + 3c)) = 0 ((-8 * -8 + 3c * -8) + 3c * (-8 + 3c)) = 0 ((64 + -24c) + 3c * (-8 + 3c)) = 0 (64 + -24c + (-8 * 3c + 3c * 3c)) = 0 (64 + -24c + (-24c + 9c2)) = 0 Combine like terms: -24c + -24c = -48c (64 + -48c + 9c2) = 0 Solving 64 + -48c + 9c2 = 0 Solving for variable 'c'. Factor a trinomial. (8 + -3c)(8 + -3c) = 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 '(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 = 2.666666667Solution
c = {2.666666667, 2.666666667}
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