Tg(x)=tg(y)

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Solution for Tg(x)=tg(y) equation:


Simplifying
Tg(x) = tg(y)

Multiply gT * x
gxT = tg(y)

Multiply gt * y
gxT = gty

Solving
gxT = gty

Solving for variable 'g'.

Move all terms containing g to the left, all other terms to the right.

Add '-1gty' to each side of the equation.
-1gty + gxT = gty + -1gty

Combine like terms: gty + -1gty = 0
-1gty + gxT = 0

Factor out the Greatest Common Factor (GCF), 'g'.
g(-1ty + xT) = 0

Subproblem 1

Set the factor 'g' equal to zero and attempt to solve: Simplifying g = 0 Solving g = 0 Move all terms containing g to the left, all other terms to the right. Simplifying g = 0

Subproblem 2

Set the factor '(-1ty + xT)' equal to zero and attempt to solve: Simplifying -1ty + xT = 0 Solving -1ty + xT = 0 Move all terms containing g to the left, all other terms to the right. Add 'ty' to each side of the equation. -1ty + ty + xT = 0 + ty Combine like terms: -1ty + ty = 0 0 + xT = 0 + ty xT = 0 + ty Remove the zero: xT = ty Add '-1xT' to each side of the equation. xT + -1xT = ty + -1xT Combine like terms: xT + -1xT = 0 0 = ty + -1xT Simplifying 0 = ty + -1xT The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

g = {0}

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