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Simplifying (2 + 3c)(4 + 6c + 9c) = 0 Combine like terms: 6c + 9c = 15c (2 + 3c)(4 + 15c) = 0 Multiply (2 + 3c) * (4 + 15c) (2(4 + 15c) + 3c * (4 + 15c)) = 0 ((4 * 2 + 15c * 2) + 3c * (4 + 15c)) = 0 ((8 + 30c) + 3c * (4 + 15c)) = 0 (8 + 30c + (4 * 3c + 15c * 3c)) = 0 (8 + 30c + (12c + 45c2)) = 0 Combine like terms: 30c + 12c = 42c (8 + 42c + 45c2) = 0 Solving 8 + 42c + 45c2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + 3c)(4 + 15c) = 0Subproblem 1
Set the factor '(2 + 3c)' equal to zero and attempt to solve: Simplifying 2 + 3c = 0 Solving 2 + 3c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + 3c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3c = 0 + -2 3c = 0 + -2 Combine like terms: 0 + -2 = -2 3c = -2 Divide each side by '3'. c = -0.6666666667 Simplifying c = -0.6666666667Subproblem 2
Set the factor '(4 + 15c)' equal to zero and attempt to solve: Simplifying 4 + 15c = 0 Solving 4 + 15c = 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 + 15c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 15c = 0 + -4 15c = 0 + -4 Combine like terms: 0 + -4 = -4 15c = -4 Divide each side by '15'. c = -0.2666666667 Simplifying c = -0.2666666667Solution
c = {-0.6666666667, -0.2666666667}
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