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Simplifying (3c + -4)(1c + -3) = 0 Reorder the terms: (-4 + 3c)(1c + -3) = 0 Reorder the terms: (-4 + 3c)(-3 + 1c) = 0 Multiply (-4 + 3c) * (-3 + 1c) (-4(-3 + 1c) + 3c * (-3 + 1c)) = 0 ((-3 * -4 + 1c * -4) + 3c * (-3 + 1c)) = 0 ((12 + -4c) + 3c * (-3 + 1c)) = 0 (12 + -4c + (-3 * 3c + 1c * 3c)) = 0 (12 + -4c + (-9c + 3c2)) = 0 Combine like terms: -4c + -9c = -13c (12 + -13c + 3c2) = 0 Solving 12 + -13c + 3c2 = 0 Solving for variable 'c'. Factor a trinomial. (4 + -3c)(3 + -1c) = 0Subproblem 1
Set the factor '(4 + -3c)' equal to zero and attempt to solve: Simplifying 4 + -3c = 0 Solving 4 + -3c = 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 + -3c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -3c = 0 + -4 -3c = 0 + -4 Combine like terms: 0 + -4 = -4 -3c = -4 Divide each side by '-3'. c = 1.333333333 Simplifying c = 1.333333333Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 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 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {1.333333333, 3}
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