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Simplifying (7c + 5)(3c + -6) = 0 Reorder the terms: (5 + 7c)(3c + -6) = 0 Reorder the terms: (5 + 7c)(-6 + 3c) = 0 Multiply (5 + 7c) * (-6 + 3c) (5(-6 + 3c) + 7c * (-6 + 3c)) = 0 ((-6 * 5 + 3c * 5) + 7c * (-6 + 3c)) = 0 ((-30 + 15c) + 7c * (-6 + 3c)) = 0 (-30 + 15c + (-6 * 7c + 3c * 7c)) = 0 (-30 + 15c + (-42c + 21c2)) = 0 Combine like terms: 15c + -42c = -27c (-30 + -27c + 21c2) = 0 Solving -30 + -27c + 21c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '3'. 3(-10 + -9c + 7c2) = 0 Factor a trinomial. 3((-5 + -7c)(2 + -1c)) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-5 + -7c)' equal to zero and attempt to solve: Simplifying -5 + -7c = 0 Solving -5 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + -7c = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -7c = 0 + 5 -7c = 0 + 5 Combine like terms: 0 + 5 = 5 -7c = 5 Divide each side by '-7'. c = -0.7142857143 Simplifying c = -0.7142857143Subproblem 2
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 = 2Solution
c = {-0.7142857143, 2}
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