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Simplifying 7c2 + 53c + 28 = 0 Reorder the terms: 28 + 53c + 7c2 = 0 Solving 28 + 53c + 7c2 = 0 Solving for variable 'c'. Factor a trinomial. (7 + c)(4 + 7c) = 0Subproblem 1
Set the factor '(7 + c)' equal to zero and attempt to solve: Simplifying 7 + c = 0 Solving 7 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + c = 0 + -7 c = 0 + -7 Combine like terms: 0 + -7 = -7 c = -7 Simplifying c = -7Subproblem 2
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 = -0.5714285714Solution
c = {-7, -0.5714285714}
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