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Simplifying 13c = 2c2 + 6 Reorder the terms: 13c = 6 + 2c2 Solving 13c = 6 + 2c2 Solving for variable 'c'. Reorder the terms: -6 + 13c + -2c2 = 6 + 2c2 + -6 + -2c2 Reorder the terms: -6 + 13c + -2c2 = 6 + -6 + 2c2 + -2c2 Combine like terms: 6 + -6 = 0 -6 + 13c + -2c2 = 0 + 2c2 + -2c2 -6 + 13c + -2c2 = 2c2 + -2c2 Combine like terms: 2c2 + -2c2 = 0 -6 + 13c + -2c2 = 0 Factor a trinomial. (-6 + c)(1 + -2c) = 0Subproblem 1
Set the factor '(-6 + c)' equal to zero and attempt to solve: Simplifying -6 + c = 0 Solving -6 + c = 0 Move all terms containing c to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + c = 0 + 6 Combine like terms: -6 + 6 = 0 0 + c = 0 + 6 c = 0 + 6 Combine like terms: 0 + 6 = 6 c = 6 Simplifying c = 6Subproblem 2
Set the factor '(1 + -2c)' equal to zero and attempt to solve: Simplifying 1 + -2c = 0 Solving 1 + -2c = 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 + -2c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -2c = 0 + -1 -2c = 0 + -1 Combine like terms: 0 + -1 = -1 -2c = -1 Divide each side by '-2'. c = 0.5 Simplifying c = 0.5Solution
c = {6, 0.5}
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