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Simplifying 12f(3f + 4) = 0 Reorder the terms: 12f(4 + 3f) = 0 (4 * 12f + 3f * 12f) = 0 (48f + 36f2) = 0 Solving 48f + 36f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '12f'. 12f(4 + 3f) = 0 Ignore the factor 12.Subproblem 1
Set the factor 'f' equal to zero and attempt to solve: Simplifying f = 0 Solving f = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f = 0Subproblem 2
Set the factor '(4 + 3f)' equal to zero and attempt to solve: Simplifying 4 + 3f = 0 Solving 4 + 3f = 0 Move all terms containing f to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + 3f = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 3f = 0 + -4 3f = 0 + -4 Combine like terms: 0 + -4 = -4 3f = -4 Divide each side by '3'. f = -1.333333333 Simplifying f = -1.333333333Solution
f = {0, -1.333333333}
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