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Simplifying 2c2 + -5c + -12 = 0 Reorder the terms: -12 + -5c + 2c2 = 0 Solving -12 + -5c + 2c2 = 0 Solving for variable 'c'. Factor a trinomial. (-3 + -2c)(4 + -1c) = 0Subproblem 1
Set the factor '(-3 + -2c)' equal to zero and attempt to solve: Simplifying -3 + -2c = 0 Solving -3 + -2c = 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 + -2c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -2c = 0 + 3 -2c = 0 + 3 Combine like terms: 0 + 3 = 3 -2c = 3 Divide each side by '-2'. c = -1.5 Simplifying c = -1.5Subproblem 2
Set the factor '(4 + -1c)' equal to zero and attempt to solve: Simplifying 4 + -1c = 0 Solving 4 + -1c = 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 + -1c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1c = 0 + -4 -1c = 0 + -4 Combine like terms: 0 + -4 = -4 -1c = -4 Divide each side by '-1'. c = 4 Simplifying c = 4Solution
c = {-1.5, 4}
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