Cot(x+15)=tan(2x-30)

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Solution for Cot(x+15)=tan(2x-30) equation: 


Simplifying
Cot(x + 15) = tan(2x + -30)

Reorder the terms:
otC(15 + x) = tan(2x + -30)
(15 * otC + x * otC) = tan(2x + -30)
(15otC + otxC) = tan(2x + -30)

Reorder the terms:
15otC + otxC = ant(-30 + 2x)
15otC + otxC = (-30 * ant + 2x * ant)
15otC + otxC = (-30ant + 2antx)

Solving
15otC + otxC = -30ant + 2antx

Solving for variable 'o'.

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

Reorder the terms:
30ant + -2antx + 15otC + otxC = -30ant + 2antx + 30ant + -2antx

Reorder the terms:
30ant + -2antx + 15otC + otxC = -30ant + 30ant + 2antx + -2antx

Combine like terms: -30ant + 30ant = 0
30ant + -2antx + 15otC + otxC = 0 + 2antx + -2antx
30ant + -2antx + 15otC + otxC = 2antx + -2antx

Combine like terms: 2antx + -2antx = 0
30ant + -2antx + 15otC + otxC = 0

Factor out the Greatest Common Factor (GCF), 't'.
t(30an + -2anx + 15oC + oxC) = 0


Subproblem 1
Set the factor 't' equal to zero and attempt to solve:

Simplifying
t = 0

Solving
t = 0

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

Add '-1t' to each side of the equation.
t + -1t = 0 + -1t
Remove the zero:
0 = -1t

Simplifying
0 = -1t

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 '(30an + -2anx + 15oC + oxC)' equal to zero and attempt to solve:

Simplifying
30an + -2anx + 15oC + oxC = 0

Solving
30an + -2anx + 15oC + oxC = 0

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

Add '-30an' to each side of the equation.
30an + -2anx + 15oC + -30an + oxC = 0 + -30an

Reorder the terms:
30an + -30an + -2anx + 15oC + oxC = 0 + -30an

Combine like terms: 30an + -30an = 0
0 + -2anx + 15oC + oxC = 0 + -30an
-2anx + 15oC + oxC = 0 + -30an
Remove the zero:
-2anx + 15oC + oxC = -30an

Add '2anx' to each side of the equation.
-2anx + 15oC + 2anx + oxC = -30an + 2anx

Reorder the terms:
-2anx + 2anx + 15oC + oxC = -30an + 2anx

Combine like terms: -2anx + 2anx = 0
0 + 15oC + oxC = -30an + 2anx
15oC + oxC = -30an + 2anx

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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