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Simplifying (7c + 4)(3c + -4) = 0 Reorder the terms: (4 + 7c)(3c + -4) = 0 Reorder the terms: (4 + 7c)(-4 + 3c) = 0 Multiply (4 + 7c) * (-4 + 3c) (4(-4 + 3c) + 7c * (-4 + 3c)) = 0 ((-4 * 4 + 3c * 4) + 7c * (-4 + 3c)) = 0 ((-16 + 12c) + 7c * (-4 + 3c)) = 0 (-16 + 12c + (-4 * 7c + 3c * 7c)) = 0 (-16 + 12c + (-28c + 21c2)) = 0 Combine like terms: 12c + -28c = -16c (-16 + -16c + 21c2) = 0 Solving -16 + -16c + 21c2 = 0 Solving for variable 'c'. Factor a trinomial. (-4 + -7c)(4 + -3c) = 0Subproblem 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 '(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 = 1.333333333Solution
c = {-0.5714285714, 1.333333333}
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