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Simplifying -28 = 3c + -1c2 Solving -28 = 3c + -1c2 Solving for variable 'c'. Reorder the terms: -28 + -3c + c2 = 3c + -3c + -1c2 + c2 Combine like terms: 3c + -3c = 0 -28 + -3c + c2 = 0 + -1c2 + c2 -28 + -3c + c2 = -1c2 + c2 Combine like terms: -1c2 + c2 = 0 -28 + -3c + c2 = 0 Factor a trinomial. (-4 + -1c)(7 + -1c) = 0Subproblem 1
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 = -4Subproblem 2
Set the factor '(7 + -1c)' equal to zero and attempt to solve: Simplifying 7 + -1c = 0 Solving 7 + -1c = 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 + -1c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -1c = 0 + -7 -1c = 0 + -7 Combine like terms: 0 + -7 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7Solution
c = {-4, 7}
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