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Simplifying (5c + 2)(-7c + -4) = 0 Reorder the terms: (2 + 5c)(-7c + -4) = 0 Reorder the terms: (2 + 5c)(-4 + -7c) = 0 Multiply (2 + 5c) * (-4 + -7c) (2(-4 + -7c) + 5c * (-4 + -7c)) = 0 ((-4 * 2 + -7c * 2) + 5c * (-4 + -7c)) = 0 ((-8 + -14c) + 5c * (-4 + -7c)) = 0 (-8 + -14c + (-4 * 5c + -7c * 5c)) = 0 (-8 + -14c + (-20c + -35c2)) = 0 Combine like terms: -14c + -20c = -34c (-8 + -34c + -35c2) = 0 Solving -8 + -34c + -35c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '-1'. -1(8 + 34c + 35c2) = 0 Factor a trinomial. -1((4 + 7c)(2 + 5c)) = 0 Ignore the factor -1.Subproblem 1
Set the factor '(4 + 7c)' equal to zero and attempt to solve: Simplifying 4 + 7c = 0 Solving 4 + 7c = 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 + 7c = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 7c = 0 + -4 7c = 0 + -4 Combine like terms: 0 + -4 = -4 7c = -4 Divide each side by '7'. c = -0.5714285714 Simplifying c = -0.5714285714Subproblem 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 = {-0.5714285714, -0.4}
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