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Simplifying (5c + -2)(3c + 4) = 0 Reorder the terms: (-2 + 5c)(3c + 4) = 0 Reorder the terms: (-2 + 5c)(4 + 3c) = 0 Multiply (-2 + 5c) * (4 + 3c) (-2(4 + 3c) + 5c * (4 + 3c)) = 0 ((4 * -2 + 3c * -2) + 5c * (4 + 3c)) = 0 ((-8 + -6c) + 5c * (4 + 3c)) = 0 (-8 + -6c + (4 * 5c + 3c * 5c)) = 0 (-8 + -6c + (20c + 15c2)) = 0 Combine like terms: -6c + 20c = 14c (-8 + 14c + 15c2) = 0 Solving -8 + 14c + 15c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -3c)(2 + -5c) = 0Subproblem 1
Set the factor '(-4 + -3c)' equal to zero and attempt to solve: Simplifying -4 + -3c = 0 Solving -4 + -3c = 0 Move all terms containing c to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -3c = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -3c = 0 + 4 -3c = 0 + 4 Combine like terms: 0 + 4 = 4 -3c = 4 Divide each side by '-3'. c = -1.333333333 Simplifying c = -1.333333333Subproblem 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 = {-1.333333333, 0.4}
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