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Simplifying (3c + 4)(7c + -2) = 0 Reorder the terms: (4 + 3c)(7c + -2) = 0 Reorder the terms: (4 + 3c)(-2 + 7c) = 0 Multiply (4 + 3c) * (-2 + 7c) (4(-2 + 7c) + 3c * (-2 + 7c)) = 0 ((-2 * 4 + 7c * 4) + 3c * (-2 + 7c)) = 0 ((-8 + 28c) + 3c * (-2 + 7c)) = 0 (-8 + 28c + (-2 * 3c + 7c * 3c)) = 0 (-8 + 28c + (-6c + 21c2)) = 0 Combine like terms: 28c + -6c = 22c (-8 + 22c + 21c2) = 0 Solving -8 + 22c + 21c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -3c)(2 + -7c) = 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 + -7c)' equal to zero and attempt to solve: Simplifying 2 + -7c = 0 Solving 2 + -7c = 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 + -7c = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -7c = 0 + -2 -7c = 0 + -2 Combine like terms: 0 + -2 = -2 -7c = -2 Divide each side by '-7'. c = 0.2857142857 Simplifying c = 0.2857142857Solution
c = {-1.333333333, 0.2857142857}
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