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Simplifying 4(f + -2) * 4f = 0 Reorder the terms: 4(-2 + f) * 4f = 0 Reorder the terms for easier multiplication: 4 * 4f(-2 + f) = 0 Multiply 4 * 4 16f(-2 + f) = 0 (-2 * 16f + f * 16f) = 0 (-32f + 16f2) = 0 Solving -32f + 16f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '16f'. 16f(-2 + f) = 0 Ignore the factor 16.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 '(-2 + f)' equal to zero and attempt to solve: Simplifying -2 + f = 0 Solving -2 + f = 0 Move all terms containing f to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + f = 0 + 2 Combine like terms: -2 + 2 = 0 0 + f = 0 + 2 f = 0 + 2 Combine like terms: 0 + 2 = 2 f = 2 Simplifying f = 2Solution
f = {0, 2}
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