(x+48)tan(13)=xtan(18)

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Solution for (x+48)tan(13)=xtan(18) equation: 


Simplifying
(x + 48) * tan(13) = xtan(18)

Reorder the terms:
(48 + x) * tan(13) = xtan(18)

Reorder the terms for easier multiplication:
13ant(48 + x) = xtan(18)
(48 * 13ant + x * 13ant) = xtan(18)
(624ant + 13antx) = xtan(18)

Reorder the terms for easier multiplication:
624ant + 13antx = 18antx

Solving
624ant + 13antx = 18antx

Solving for variable 'a'.

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

Add '-18antx' to each side of the equation.
624ant + 13antx + -18antx = 18antx + -18antx

Combine like terms: 13antx + -18antx = -5antx
624ant + -5antx = 18antx + -18antx

Combine like terms: 18antx + -18antx = 0
624ant + -5antx = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(624 + -5x) = 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 '(624 + -5x)' equal to zero and attempt to solve:

Simplifying
624 + -5x = 0

Solving
624 + -5x = 0

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

Add '-624' to each side of the equation.
624 + -624 + -5x = 0 + -624

Combine like terms: 624 + -624 = 0
0 + -5x = 0 + -624
-5x = 0 + -624

Combine like terms: 0 + -624 = -624
-5x = -624

Add '5x' to each side of the equation.
-5x + 5x = -624 + 5x

Combine like terms: -5x + 5x = 0
0 = -624 + 5x

Simplifying
0 = -624 + 5x

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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