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Simplifying 7 = c(c + -6) Reorder the terms: 7 = c(-6 + c) 7 = (-6 * c + c * c) 7 = (-6c + c2) Solving 7 = -6c + c2 Solving for variable 'c'. Reorder the terms: 7 + 6c + -1c2 = -6c + 6c + c2 + -1c2 Combine like terms: -6c + 6c = 0 7 + 6c + -1c2 = 0 + c2 + -1c2 7 + 6c + -1c2 = c2 + -1c2 Combine like terms: c2 + -1c2 = 0 7 + 6c + -1c2 = 0 Factor a trinomial. (7 + -1c)(1 + c) = 0Subproblem 1
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 = 7Subproblem 2
Set the factor '(1 + c)' equal to zero and attempt to solve: Simplifying 1 + c = 0 Solving 1 + c = 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 + c = 0 + -1 Combine like terms: 1 + -1 = 0 0 + c = 0 + -1 c = 0 + -1 Combine like terms: 0 + -1 = -1 c = -1 Simplifying c = -1Solution
c = {7, -1}
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