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Simplifying c(8c + 1) = 7 Reorder the terms: c(1 + 8c) = 7 (1 * c + 8c * c) = 7 (1c + 8c2) = 7 Solving 1c + 8c2 = 7 Solving for variable 'c'. Reorder the terms: -7 + 1c + 8c2 = 7 + -7 Combine like terms: 7 + -7 = 0 -7 + 1c + 8c2 = 0 Factor a trinomial. (-1 + -1c)(7 + -8c) = 0Subproblem 1
Set the factor '(-1 + -1c)' equal to zero and attempt to solve: Simplifying -1 + -1c = 0 Solving -1 + -1c = 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 + -1c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -1c = 0 + 1 -1c = 0 + 1 Combine like terms: 0 + 1 = 1 -1c = 1 Divide each side by '-1'. c = -1 Simplifying c = -1Subproblem 2
Set the factor '(7 + -8c)' equal to zero and attempt to solve: Simplifying 7 + -8c = 0 Solving 7 + -8c = 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 + -8c = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -8c = 0 + -7 -8c = 0 + -7 Combine like terms: 0 + -7 = -7 -8c = -7 Divide each side by '-8'. c = 0.875 Simplifying c = 0.875Solution
c = {-1, 0.875}
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