5tan^2x+5tanx=2sec^2x

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Solution for 5tan^2x+5tanx=2sec^2x equation: 


Simplifying
5tan2x + 5tanx = 2sec2x

Reorder the terms:
5antx + 5an2tx = 2sec2x

Solving
5antx + 5an2tx = 2c2esx

Solving for variable 'a'.

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

Combine like terms: 2c2esx + -2c2esx = 0
5antx + 5an2tx + -2c2esx = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(5ant + 5an2t + -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 '(5ant + 5an2t + -2c2es)' equal to zero and attempt to solve:

Simplifying
5ant + 5an2t + -2c2es = 0

Solving
5ant + 5an2t + -2c2es = 0

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

Add '2c2es' to each side of the equation.
5ant + 5an2t + -2c2es + 2c2es = 0 + 2c2es

Combine like terms: -2c2es + 2c2es = 0
5ant + 5an2t + 0 = 0 + 2c2es
5ant + 5an2t = 0 + 2c2es
Remove the zero:
5ant + 5an2t = 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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