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Simplifying 28c2 + 9c + -4 = 0 Reorder the terms: -4 + 9c + 28c2 = 0 Solving -4 + 9c + 28c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -7c)(1 + -4c) = 0Subproblem 1
Set the factor '(-4 + -7c)' equal to zero and attempt to solve: Simplifying -4 + -7c = 0 Solving -4 + -7c = 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 + -7c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -7c = 0 + 4 -7c = 0 + 4 Combine like terms: 0 + 4 = 4 -7c = 4 Divide each side by '-7'. c = -0.5714285714 Simplifying c = -0.5714285714Subproblem 2
Set the factor '(1 + -4c)' equal to zero and attempt to solve: Simplifying 1 + -4c = 0 Solving 1 + -4c = 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 + -4c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4c = 0 + -1 -4c = 0 + -1 Combine like terms: 0 + -1 = -1 -4c = -1 Divide each side by '-4'. c = 0.25 Simplifying c = 0.25Solution
c = {-0.5714285714, 0.25}
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