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Simplifying 6(3f + -15) * f = 0 Reorder the terms: 6(-15 + 3f) * f = 0 Reorder the terms for easier multiplication: 6f(-15 + 3f) = 0 (-15 * 6f + 3f * 6f) = 0 (-90f + 18f2) = 0 Solving -90f + 18f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '18f'. 18f(-5 + f) = 0 Ignore the factor 18.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 '(-5 + f)' equal to zero and attempt to solve: Simplifying -5 + f = 0 Solving -5 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + f = 0 + 5 Combine like terms: -5 + 5 = 0 0 + f = 0 + 5 f = 0 + 5 Combine like terms: 0 + 5 = 5 f = 5 Simplifying f = 5Solution
f = {0, 5}
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