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Simplifying 45c2 + -10c + 18c + -4 = 0 Reorder the terms: -4 + -10c + 18c + 45c2 = 0 Combine like terms: -10c + 18c = 8c -4 + 8c + 45c2 = 0 Solving -4 + 8c + 45c2 = 0 Solving for variable 'c'. Factor a trinomial. (-2 + -5c)(2 + -9c) = 0Subproblem 1
Set the factor '(-2 + -5c)' equal to zero and attempt to solve: Simplifying -2 + -5c = 0 Solving -2 + -5c = 0 Move all terms containing c to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -5c = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -5c = 0 + 2 -5c = 0 + 2 Combine like terms: 0 + 2 = 2 -5c = 2 Divide each side by '-5'. c = -0.4 Simplifying c = -0.4Subproblem 2
Set the factor '(2 + -9c)' equal to zero and attempt to solve: Simplifying 2 + -9c = 0 Solving 2 + -9c = 0 Move all terms containing c to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -9c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -9c = 0 + -2 -9c = 0 + -2 Combine like terms: 0 + -2 = -2 -9c = -2 Divide each side by '-9'. c = 0.2222222222 Simplifying c = 0.2222222222Solution
c = {-0.4, 0.2222222222}
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