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Simplifying 7C(8C + 6) = 0 Reorder the terms: 7C(6 + 8C) = 0 (6 * 7C + 8C * 7C) = 0 (42C + 56C2) = 0 Solving 42C + 56C2 = 0 Solving for variable 'C'. Factor out the Greatest Common Factor (GCF), '14C'. 14C(3 + 4C) = 0 Ignore the factor 14.Subproblem 1
Set the factor 'C' equal to zero and attempt to solve: Simplifying C = 0 Solving C = 0 Move all terms containing C to the left, all other terms to the right. Simplifying C = 0Subproblem 2
Set the factor '(3 + 4C)' equal to zero and attempt to solve: Simplifying 3 + 4C = 0 Solving 3 + 4C = 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 + 4C = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 4C = 0 + -3 4C = 0 + -3 Combine like terms: 0 + -3 = -3 4C = -3 Divide each side by '4'. C = -0.75 Simplifying C = -0.75Solution
C = {0, -0.75}
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