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Simplifying (5c + 3)(-1c + 2) = 0 Reorder the terms: (3 + 5c)(-1c + 2) = 0 Reorder the terms: (3 + 5c)(2 + -1c) = 0 Multiply (3 + 5c) * (2 + -1c) (3(2 + -1c) + 5c * (2 + -1c)) = 0 ((2 * 3 + -1c * 3) + 5c * (2 + -1c)) = 0 ((6 + -3c) + 5c * (2 + -1c)) = 0 (6 + -3c + (2 * 5c + -1c * 5c)) = 0 (6 + -3c + (10c + -5c2)) = 0 Combine like terms: -3c + 10c = 7c (6 + 7c + -5c2) = 0 Solving 6 + 7c + -5c2 = 0 Solving for variable 'c'. Factor a trinomial. (2 + -1c)(3 + 5c) = 0Subproblem 1
Set the factor '(2 + -1c)' equal to zero and attempt to solve: Simplifying 2 + -1c = 0 Solving 2 + -1c = 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 + -1c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1c = 0 + -2 -1c = 0 + -2 Combine like terms: 0 + -2 = -2 -1c = -2 Divide each side by '-1'. c = 2 Simplifying c = 2Subproblem 2
Set the factor '(3 + 5c)' equal to zero and attempt to solve: Simplifying 3 + 5c = 0 Solving 3 + 5c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 5c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 5c = 0 + -3 5c = 0 + -3 Combine like terms: 0 + -3 = -3 5c = -3 Divide each side by '5'. c = -0.6 Simplifying c = -0.6Solution
c = {2, -0.6}
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