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Simplifying 8f2 + 16f3 = 0 Solving 8f2 + 16f3 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '8f2'. 8f2(1 + 2f) = 0 Ignore the factor 8.Subproblem 1
Set the factor 'f2' equal to zero and attempt to solve: Simplifying f2 = 0 Solving f2 = 0 Move all terms containing f to the left, all other terms to the right. Simplifying f2 = 0 Take the square root of each side: f = {0}Subproblem 2
Set the factor '(1 + 2f)' equal to zero and attempt to solve: Simplifying 1 + 2f = 0 Solving 1 + 2f = 0 Move all terms containing f to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2f = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2f = 0 + -1 2f = 0 + -1 Combine like terms: 0 + -1 = -1 2f = -1 Divide each side by '2'. f = -0.5 Simplifying f = -0.5Solution
f = {0, -0.5}
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