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Simplifying 4f2 + 4fg + g2 = 0 Reorder the terms: 4fg + 4f2 + g2 = 0 Solving 4fg + 4f2 + g2 = 0 Solving for variable 'f'. Factor a trinomial. (2f + g)(2f + g) = 0Subproblem 1
Set the factor '(2f + g)' equal to zero and attempt to solve: Simplifying 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 = -0.5gSubproblem 2
Set the factor '(2f + g)' equal to zero and attempt to solve: Simplifying 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 = {-0.5g, -0.5g}
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