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Simplifying tg3x = tgx Solving g3tx = gtx Solving for variable 'g'. Reorder the terms: -1gtx + g3tx = gtx + -1gtx Combine like terms: gtx + -1gtx = 0 -1gtx + g3tx = 0 Factor out the Greatest Common Factor (GCF), 'gtx'. gtx(-1 + g2) = 0 Factor a difference between two squares. gtx((1 + g)(-1 + g)) = 0Subproblem 1
Set the factor 'gtx' equal to zero and attempt to solve: Simplifying gtx = 0 Solving gtx = 0 Move all terms containing g to the left, all other terms to the right. Simplifying gtx = 0 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 '(1 + g)' equal to zero and attempt to solve: Simplifying 1 + g = 0 Solving 1 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + g = 0 + -1 Combine like terms: 1 + -1 = 0 0 + g = 0 + -1 g = 0 + -1 Combine like terms: 0 + -1 = -1 g = -1 Simplifying g = -1Subproblem 3
Set the factor '(-1 + g)' equal to zero and attempt to solve: Simplifying -1 + g = 0 Solving -1 + g = 0 Move all terms containing g to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + g = 0 + 1 Combine like terms: -1 + 1 = 0 0 + g = 0 + 1 g = 0 + 1 Combine like terms: 0 + 1 = 1 g = 1 Simplifying g = 1Solution
g = {-1, 1}
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