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Simplifying 3c2 + -2c = 16 Reorder the terms: -2c + 3c2 = 16 Solving -2c + 3c2 = 16 Solving for variable 'c'. Reorder the terms: -16 + -2c + 3c2 = 16 + -16 Combine like terms: 16 + -16 = 0 -16 + -2c + 3c2 = 0 Factor a trinomial. (-2 + -1c)(8 + -3c) = 0Subproblem 1
Set the factor '(-2 + -1c)' equal to zero and attempt to solve: Simplifying -2 + -1c = 0 Solving -2 + -1c = 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 + -1c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -1c = 0 + 2 -1c = 0 + 2 Combine like terms: 0 + 2 = 2 -1c = 2 Divide each side by '-1'. c = -2 Simplifying c = -2Subproblem 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, 2.666666667}
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