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Simplifying 4f(2f + -1g) = 0 (2f * 4f + -1g * 4f) = 0 Reorder the terms: (-4fg + 8f2) = 0 (-4fg + 8f2) = 0 Solving -4fg + 8f2 = 0 Solving for variable 'f'. Factor out the Greatest Common Factor (GCF), '4f'. 4f(-1g + 2f) = 0 Ignore the factor 4.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 '(-1g + 2f)' equal to zero and attempt to solve: Simplifying -1g + 2f = 0 Reorder the terms: 2f + -1g = 0 Solving 2f + -1g = 0 Move all terms containing f to the left, all other terms to the right. Add 'g' to each side of the equation. 2f + -1g + g = 0 + g Combine like terms: -1g + g = 0 2f + 0 = 0 + g 2f = 0 + g Remove the zero: 2f = g Divide each side by '2'. f = 0.5g Simplifying f = 0.5gSolution
f = {0, 0.5g}
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