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