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Simplifying 0 = 2f(g + h) 0 = (g * 2f + h * 2f) 0 = (2fg + 2fh) Solving 0 = 2fg + 2fh Solving for variable 'f'. Move all terms containing f to the left, all other terms to the right. Add '-2fg' to each side of the equation. 0 + -2fg = 2fg + -2fg + 2fh Remove the zero: -2fg = 2fg + -2fg + 2fh Combine like terms: 2fg + -2fg = 0 -2fg = 0 + 2fh -2fg = 2fh Add '-2fh' to each side of the equation. -2fg + -2fh = 2fh + -2fh Combine like terms: 2fh + -2fh = 0 -2fg + -2fh = 0 Factor out the Greatest Common Factor (GCF), '-2f'. -2f(g + h) = 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 + h)' equal to zero and attempt to solve: Simplifying g + h = 0 Solving g + h = 0 Move all terms containing f to the left, all other terms to the right. Add '-1g' to each side of the equation. g + -1g + h = 0 + -1g Combine like terms: g + -1g = 0 0 + h = 0 + -1g h = 0 + -1g Remove the zero: h = -1g Add '-1h' to each side of the equation. h + -1h = -1g + -1h Combine like terms: h + -1h = 0 0 = -1g + -1h Simplifying 0 = -1g + -1h The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Solution
f = {0}
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