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Simplifying 37g8 + -37h8 = 0 Solving 37g8 + -37h8 = 0 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '37h8' to each side of the equation. 37g8 + -37h8 + 37h8 = 0 + 37h8 Combine like terms: -37h8 + 37h8 = 0 37g8 + 0 = 0 + 37h8 37g8 = 0 + 37h8 Remove the zero: 37g8 = 37h8 Divide each side by '37'. g8 = h8 Simplifying g8 = h8 Combine like terms: h8 + -1h8 = 0 g8 + -1h8 = 0 Factor a difference between two squares. (g4 + h4)(g4 + -1h4) = 0 Factor a difference between two squares. (g4 + h4)((g2 + h2)(g2 + -1h2)) = 0 Factor a difference between two squares. (g4 + h4)((g2 + h2)((g + h)(g + -1h))) = 0Subproblem 1
Set the factor '(g4 + h4)' equal to zero and attempt to solve: Simplifying g4 + h4 = 0 Solving g4 + h4 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1h4' to each side of the equation. g4 + h4 + -1h4 = 0 + -1h4 Combine like terms: h4 + -1h4 = 0 g4 + 0 = 0 + -1h4 g4 = 0 + -1h4 Remove the zero: g4 = -1h4 Simplifying g4 = -1h4 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 '(g2 + h2)' equal to zero and attempt to solve: Simplifying g2 + h2 = 0 Solving g2 + h2 = 0 Move all terms containing g to the left, all other terms to the right. Add '-1h2' to each side of the equation. g2 + h2 + -1h2 = 0 + -1h2 Combine like terms: h2 + -1h2 = 0 g2 + 0 = 0 + -1h2 g2 = 0 + -1h2 Remove the zero: g2 = -1h2 Simplifying g2 = -1h2 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.Subproblem 3
Set the factor '(g + h)' equal to zero and attempt to solve: Simplifying g + h = 0 Solving g + h = 0 Move all terms containing g to the left, all other terms to the right. Add '-1h' to each side of the equation. g + h + -1h = 0 + -1h Combine like terms: h + -1h = 0 g + 0 = 0 + -1h g = 0 + -1h Remove the zero: g = -1h Simplifying g = -1hSubproblem 4
Set the factor '(g + -1h)' equal to zero and attempt to solve: Simplifying g + -1h = 0 Solving g + -1h = 0 Move all terms containing g to the left, all other terms to the right. Add 'h' to each side of the equation. g + -1h + h = 0 + h Combine like terms: -1h + h = 0 g + 0 = 0 + h g = 0 + h Remove the zero: g = h Simplifying g = hSolution
g = {-1h, h}
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