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Simplifying 4sg4 + -4sn4 = 0 Solving 4g4s + -4n4s = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '4n4s' to each side of the equation. 4g4s + -4n4s + 4n4s = 0 + 4n4s Combine like terms: -4n4s + 4n4s = 0 4g4s + 0 = 0 + 4n4s 4g4s = 0 + 4n4s Remove the zero: 4g4s = 4n4s Divide each side by '4s'. g4 = n4 Simplifying g4 = n4 Combine like terms: n4 + -1n4 = 0 g4 + -1n4 = 0 Factor a difference between two squares. (g2 + n2)(g2 + -1n2) = 0 Factor a difference between two squares. (g2 + n2)((g + n)(g + -1n)) = 0Subproblem 1
Set the factor '(g2 + n2)' equal to zero and attempt to solve: Simplifying g2 + n2 = 0 Solving g2 + n2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1n2' to each side of the equation. g2 + n2 + -1n2 = 0 + -1n2 Combine like terms: n2 + -1n2 = 0 g2 + 0 = 0 + -1n2 g2 = 0 + -1n2 Remove the zero: g2 = -1n2 Simplifying g2 = -1n2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 2
Set the factor '(g + n)' equal to zero and attempt to solve: Simplifying g + n = 0 Solving g + n = 0 Move all terms containing g to the left, all other terms to the right. Add '-1n' to each side of the equation. g + n + -1n = 0 + -1n Combine like terms: n + -1n = 0 g + 0 = 0 + -1n g = 0 + -1n Remove the zero: g = -1n Simplifying g = -1nSubproblem 3
Set the factor '(g + -1n)' equal to zero and attempt to solve: Simplifying g + -1n = 0 Solving g + -1n = 0 Move all terms containing g to the left, all other terms to the right. Add 'n' to each side of the equation. g + -1n + n = 0 + n Combine like terms: -1n + n = 0 g + 0 = 0 + n g = 0 + n Remove the zero: g = n Simplifying g = nSolution
g = {-1n, n}
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