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Simplifying (7c + 3)(4c + -12) = 0 Reorder the terms: (3 + 7c)(4c + -12) = 0 Reorder the terms: (3 + 7c)(-12 + 4c) = 0 Multiply (3 + 7c) * (-12 + 4c) (3(-12 + 4c) + 7c * (-12 + 4c)) = 0 ((-12 * 3 + 4c * 3) + 7c * (-12 + 4c)) = 0 ((-36 + 12c) + 7c * (-12 + 4c)) = 0 (-36 + 12c + (-12 * 7c + 4c * 7c)) = 0 (-36 + 12c + (-84c + 28c2)) = 0 Combine like terms: 12c + -84c = -72c (-36 + -72c + 28c2) = 0 Solving -36 + -72c + 28c2 = 0 Solving for variable 'c'. Factor out the Greatest Common Factor (GCF), '4'. 4(-9 + -18c + 7c2) = 0 Factor a trinomial. 4((-3 + -7c)(3 + -1c)) = 0 Ignore the factor 4.Subproblem 1
Set the factor '(-3 + -7c)' equal to zero and attempt to solve: Simplifying -3 + -7c = 0 Solving -3 + -7c = 0 Move all terms containing c to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 3 + -7c = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -7c = 0 + 3 -7c = 0 + 3 Combine like terms: 0 + 3 = 3 -7c = 3 Divide each side by '-7'. c = -0.4285714286 Simplifying c = -0.4285714286Subproblem 2
Set the factor '(3 + -1c)' equal to zero and attempt to solve: Simplifying 3 + -1c = 0 Solving 3 + -1c = 0 Move all terms containing c to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + -1c = 0 + -3 Combine like terms: 3 + -3 = 0 0 + -1c = 0 + -3 -1c = 0 + -3 Combine like terms: 0 + -3 = -3 -1c = -3 Divide each side by '-1'. c = 3 Simplifying c = 3Solution
c = {-0.4285714286, 3}
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