Ptanx+qtanx=tanz

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Solution for Ptanx+qtanx=tanz equation: 


Simplifying
Ptanx + qtanx = tanz

Reorder the terms:
anqtx + antxP = tanz

Solving
anqtx + antxP = antz

Solving for variable 'a'.

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

Add '-1antz' to each side of the equation.
anqtx + antxP + -1antz = antz + -1antz

Combine like terms: antz + -1antz = 0
anqtx + antxP + -1antz = 0

Factor out the Greatest Common Factor (GCF), 'ant'.
ant(qx + xP + -1z) = 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 '(qx + xP + -1z)' equal to zero and attempt to solve:

Simplifying
qx + xP + -1z = 0

Solving
qx + xP + -1z = 0

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

Add '-1qx' to each side of the equation.
qx + xP + -1qx + -1z = 0 + -1qx

Reorder the terms:
qx + -1qx + xP + -1z = 0 + -1qx

Combine like terms: qx + -1qx = 0
0 + xP + -1z = 0 + -1qx
xP + -1z = 0 + -1qx
Remove the zero:
xP + -1z = -1qx

Add '-1xP' to each side of the equation.
xP + -1xP + -1z = -1qx + -1xP

Combine like terms: xP + -1xP = 0
0 + -1z = -1qx + -1xP
-1z = -1qx + -1xP

Add 'z' to each side of the equation.
-1z + z = -1qx + -1xP + z

Combine like terms: -1z + z = 0
0 = -1qx + -1xP + z

Simplifying
0 = -1qx + -1xP + z

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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