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Simplifying (8f + 4g)(-1f) = 0 Remove parenthesis around (-1f) (8f + 4g) * -1f = 0 Reorder the terms for easier multiplication: -1f(8f + 4g) = 0 (8f * -1f + 4g * -1f) = 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(g + 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 '(g + 2f)' equal to zero and attempt to solve: Simplifying g + 2f = 0 Reorder the terms: 2f + g = 0 Solving 2f + g = 0 Move all terms containing f to the left, all other terms to the right. Add '-1g' to each side of the equation. 2f + g + -1g = 0 + -1g Combine like terms: g + -1g = 0 2f + 0 = 0 + -1g 2f = 0 + -1g Remove the zero: 2f = -1g Divide each side by '2'. f = -0.5g Simplifying f = -0.5gSolution
f = {0, -0.5g}
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