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Simplifying 8 = c(3c + 10) Reorder the terms: 8 = c(10 + 3c) 8 = (10 * c + 3c * c) 8 = (10c + 3c2) Solving 8 = 10c + 3c2 Solving for variable 'c'. Reorder the terms: 8 + -10c + -3c2 = 10c + -10c + 3c2 + -3c2 Combine like terms: 10c + -10c = 0 8 + -10c + -3c2 = 0 + 3c2 + -3c2 8 + -10c + -3c2 = 3c2 + -3c2 Combine like terms: 3c2 + -3c2 = 0 8 + -10c + -3c2 = 0 Factor a trinomial. (2 + -3c)(4 + c) = 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 + c)' equal to zero and attempt to solve: Simplifying 4 + c = 0 Solving 4 + c = 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 + c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + c = 0 + -4 c = 0 + -4 Combine like terms: 0 + -4 = -4 c = -4 Simplifying c = -4Solution
c = {0.6666666667, -4}
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