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Simplifying (5c + -2)(3c + 1) = 0 Reorder the terms: (-2 + 5c)(3c + 1) = 0 Reorder the terms: (-2 + 5c)(1 + 3c) = 0 Multiply (-2 + 5c) * (1 + 3c) (-2(1 + 3c) + 5c * (1 + 3c)) = 0 ((1 * -2 + 3c * -2) + 5c * (1 + 3c)) = 0 ((-2 + -6c) + 5c * (1 + 3c)) = 0 (-2 + -6c + (1 * 5c + 3c * 5c)) = 0 (-2 + -6c + (5c + 15c2)) = 0 Combine like terms: -6c + 5c = -1c (-2 + -1c + 15c2) = 0 Solving -2 + -1c + 15c2 = 0 Solving for variable 'c'. Factor a trinomial. (-1 + -3c)(2 + -5c) = 0Subproblem 1
Set the factor '(-1 + -3c)' equal to zero and attempt to solve: Simplifying -1 + -3c = 0 Solving -1 + -3c = 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 + -3c = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -3c = 0 + 1 -3c = 0 + 1 Combine like terms: 0 + 1 = 1 -3c = 1 Divide each side by '-3'. c = -0.3333333333 Simplifying c = -0.3333333333Subproblem 2
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 = 0.4Solution
c = {-0.3333333333, 0.4}
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