=tan(x-45)

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Solution for =tan(x-45) equation: 


Simplifying
0 = tan(x + -45)

Reorder the terms:
0 = ant(-45 + x)
0 = (-45 * ant + x * ant)
0 = (-45ant + antx)

Solving
0 = -45ant + antx

Solving for variable 'a'.

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

Add '45ant' to each side of the equation.
0 + 45ant = -45ant + 45ant + antx
Remove the zero:
45ant = -45ant + 45ant + antx

Combine like terms: -45ant + 45ant = 0
45ant = 0 + antx
45ant = antx

Add '-1antx' to each side of the equation.
45ant + -1antx = antx + -1antx

Combine like terms: antx + -1antx = 0
45ant + -1antx = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(45 + -1x) = 0


Subproblem 1
Set the factor 'ant' equal to zero and attempt to solve:

Simplifying
ant = 0

Solving
ant = 0

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

Simplifying
ant = 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 '(45 + -1x)' equal to zero and attempt to solve:

Simplifying
45 + -1x = 0

Solving
45 + -1x = 0

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

Add '-45' to each side of the equation.
45 + -45 + -1x = 0 + -45

Combine like terms: 45 + -45 = 0
0 + -1x = 0 + -45
-1x = 0 + -45

Combine like terms: 0 + -45 = -45
-1x = -45

Add 'x' to each side of the equation.
-1x + x = -45 + x

Combine like terms: -1x + x = 0
0 = -45 + x

Simplifying
0 = -45 + x

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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