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Simplifying 3f(2f + 3) = 0 Reorder the terms: 3f(3 + 2f) = 0 (3 * 3f + 2f * 3f) = 0 (9f + 6f2) = 0 Solving 9f + 6f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '3f'. 3f(3 + 2f) = 0 Ignore the factor 3.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 '(3 + 2f)' equal to zero and attempt to solve: Simplifying 3 + 2f = 0 Solving 3 + 2f = 0 Move all terms containing f to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2f = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2f = 0 + -3 2f = 0 + -3 Combine like terms: 0 + -3 = -3 2f = -3 Divide each side by '2'. f = -1.5 Simplifying f = -1.5Solution
f = {0, -1.5}
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