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Simplifying 56c2 + 9c + -2 = 0 Reorder the terms: -2 + 9c + 56c2 = 0 Solving -2 + 9c + 56c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -7c)(1 + -8c) = 0Subproblem 1
Set the factor '(-2 + -7c)' equal to zero and attempt to solve: Simplifying -2 + -7c = 0 Solving -2 + -7c = 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 + -7c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -7c = 0 + 2 -7c = 0 + 2 Combine like terms: 0 + 2 = 2 -7c = 2 Divide each side by '-7'. c = -0.2857142857 Simplifying c = -0.2857142857Subproblem 2
Set the factor '(1 + -8c)' equal to zero and attempt to solve: Simplifying 1 + -8c = 0 Solving 1 + -8c = 0 Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -8c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -8c = 0 + -1 -8c = 0 + -1 Combine like terms: 0 + -1 = -1 -8c = -1 Divide each side by '-8'. c = 0.125 Simplifying c = 0.125Solution
c = {-0.2857142857, 0.125}
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