2sec^2x-3tanx=tan^2x

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Solution for 2sec^2x-3tanx=tan^2x equation: 


Simplifying
2sec2x + -3tanx = tan2x

Reorder the terms:
-3antx + 2c2esx = tan2x

Solving
-3antx + 2c2esx = an2tx

Solving for variable 'a'.

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

Add '-1an2tx' to each side of the equation.
-3antx + -1an2tx + 2c2esx = an2tx + -1an2tx

Combine like terms: an2tx + -1an2tx = 0
-3antx + -1an2tx + 2c2esx = 0

Add '-2c2esx' to each side of the equation.
-3antx + -1an2tx + 2c2esx + -2c2esx = 0 + -2c2esx

Combine like terms: 2c2esx + -2c2esx = 0
-3antx + -1an2tx + 0 = 0 + -2c2esx
-3antx + -1an2tx = 0 + -2c2esx
Remove the zero:
-3antx + -1an2tx = -2c2esx

Combine like terms: -2c2esx + 2c2esx = 0
-3antx + -1an2tx + 2c2esx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-3ant + -1an2t + 2c2es) = 0


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

Simplifying
x = 0

Solving
x = 0

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

Add '-1x' to each side of the equation.
x + -1x = 0 + -1x
Remove the zero:
0 = -1x

Simplifying
0 = -1x

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 '(-3ant + -1an2t + 2c2es)' equal to zero and attempt to solve:

Simplifying
-3ant + -1an2t + 2c2es = 0

Solving
-3ant + -1an2t + 2c2es = 0

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

Add '-2c2es' to each side of the equation.
-3ant + -1an2t + 2c2es + -2c2es = 0 + -2c2es

Combine like terms: 2c2es + -2c2es = 0
-3ant + -1an2t + 0 = 0 + -2c2es
-3ant + -1an2t = 0 + -2c2es
Remove the zero:
-3ant + -1an2t = -2c2es

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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