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Simplifying c(10c + 1) + -9 = 0 Reorder the terms: c(1 + 10c) + -9 = 0 (1 * c + 10c * c) + -9 = 0 (1c + 10c2) + -9 = 0 Reorder the terms: -9 + 1c + 10c2 = 0 Solving -9 + 1c + 10c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -1c)(9 + -10c) = 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 '(9 + -10c)' equal to zero and attempt to solve: Simplifying 9 + -10c = 0 Solving 9 + -10c = 0 Move all terms containing c to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + -10c = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -10c = 0 + -9 -10c = 0 + -9 Combine like terms: 0 + -9 = -9 -10c = -9 Divide each side by '-10'. c = 0.9 Simplifying c = 0.9Solution
c = {-1, 0.9}
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