tan(x+30)=tan(79)

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Solution for tan(x+30)=tan(79) equation: 


Simplifying
tan(x + 30) = tan(79)

Reorder the terms:
ant(30 + x) = tan(79)
(30 * ant + x * ant) = tan(79)
(30ant + antx) = tan(79)

Reorder the terms for easier multiplication:
30ant + antx = 79ant

Solving
30ant + antx = 79ant

Solving for variable 'a'.

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

Add '-79ant' to each side of the equation.
30ant + -79ant + antx = 79ant + -79ant

Combine like terms: 30ant + -79ant = -49ant
-49ant + antx = 79ant + -79ant

Combine like terms: 79ant + -79ant = 0
-49ant + antx = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(-49 + x) = 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 '(-49 + x)' equal to zero and attempt to solve:

Simplifying
-49 + x = 0

Solving
-49 + x = 0

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

Add '49' to each side of the equation.
-49 + 49 + x = 0 + 49

Combine like terms: -49 + 49 = 0
0 + x = 0 + 49
x = 0 + 49

Combine like terms: 0 + 49 = 49
x = 49

Add '-1x' to each side of the equation.
x + -1x = 49 + -1x

Combine like terms: x + -1x = 0
0 = 49 + -1x

Simplifying
0 = 49 + -1x

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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