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