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Simplifying 9f(2f + -3) = 0 Reorder the terms: 9f(-3 + 2f) = 0 (-3 * 9f + 2f * 9f) = 0 (-27f + 18f2) = 0 Solving -27f + 18f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '9f'. 9f(-3 + 2f) = 0 Ignore the factor 9.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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