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Simplifying (4c + -3)(3c + -8) = 0 Reorder the terms: (-3 + 4c)(3c + -8) = 0 Reorder the terms: (-3 + 4c)(-8 + 3c) = 0 Multiply (-3 + 4c) * (-8 + 3c) (-3(-8 + 3c) + 4c * (-8 + 3c)) = 0 ((-8 * -3 + 3c * -3) + 4c * (-8 + 3c)) = 0 ((24 + -9c) + 4c * (-8 + 3c)) = 0 (24 + -9c + (-8 * 4c + 3c * 4c)) = 0 (24 + -9c + (-32c + 12c2)) = 0 Combine like terms: -9c + -32c = -41c (24 + -41c + 12c2) = 0 Solving 24 + -41c + 12c2 = 0 Solving for variable 'c'. Factor a trinomial. (3 + -4c)(8 + -3c) = 0Subproblem 1
Set the factor '(3 + -4c)' equal to zero and attempt to solve: Simplifying 3 + -4c = 0 Solving 3 + -4c = 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 + -4c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -4c = 0 + -3 -4c = 0 + -3 Combine like terms: 0 + -3 = -3 -4c = -3 Divide each side by '-4'. c = 0.75 Simplifying c = 0.75Subproblem 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 = {0.75, 2.666666667}
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