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Simplifying 2f(5f + 2) = 0 Reorder the terms: 2f(2 + 5f) = 0 (2 * 2f + 5f * 2f) = 0 (4f + 10f2) = 0 Solving 4f + 10f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '2f'. 2f(2 + 5f) = 0 Ignore the factor 2.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 + 5f)' equal to zero and attempt to solve: Simplifying 2 + 5f = 0 Solving 2 + 5f = 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 + 5f = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 5f = 0 + -2 5f = 0 + -2 Combine like terms: 0 + -2 = -2 5f = -2 Divide each side by '5'. f = -0.4 Simplifying f = -0.4Solution
f = {0, -0.4}
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