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Simplifying c2 = 2c + 35 Reorder the terms: c2 = 35 + 2c Solving c2 = 35 + 2c Solving for variable 'c'. Reorder the terms: -35 + -2c + c2 = 35 + 2c + -35 + -2c Reorder the terms: -35 + -2c + c2 = 35 + -35 + 2c + -2c Combine like terms: 35 + -35 = 0 -35 + -2c + c2 = 0 + 2c + -2c -35 + -2c + c2 = 2c + -2c Combine like terms: 2c + -2c = 0 -35 + -2c + c2 = 0 Factor a trinomial. (-5 + -1c)(7 + -1c) = 0Subproblem 1
Set the factor '(-5 + -1c)' equal to zero and attempt to solve: Simplifying -5 + -1c = 0 Solving -5 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -1c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1c = 0 + 5 -1c = 0 + 5 Combine like terms: 0 + 5 = 5 -1c = 5 Divide each side by '-1'. c = -5 Simplifying c = -5Subproblem 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 = {-5, 7}
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