Tanx^2(sec^2x+1)=tan^3x

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Solution for Tanx^2(sec^2x+1)=tan^3x equation: 


Simplifying
Tanx2(sec2x + 1) = tan3x

Reorder the terms:
anx2T(1 + c2esx) = tan3x
(1 * anx2T + c2esx * anx2T) = tan3x

Reorder the terms:
(ac2ensx3T + 1anx2T) = tan3x
(ac2ensx3T + 1anx2T) = tan3x

Solving
ac2ensx3T + 1anx2T = an3tx

Solving for variable 'a'.

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

Add '-1an3tx' to each side of the equation.
ac2ensx3T + 1anx2T + -1an3tx = an3tx + -1an3tx

Combine like terms: an3tx + -1an3tx = 0
ac2ensx3T + 1anx2T + -1an3tx = 0

Factor out the Greatest Common Factor (GCF), 'anx'.
anx(c2esx2T + xT + -1n2t) = 0


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

Simplifying
anx = 0

Solving
anx = 0

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

Simplifying
anx = 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 '(c2esx2T + xT + -1n2t)' equal to zero and attempt to solve:

Simplifying
c2esx2T + xT + -1n2t = 0

Reorder the terms:
c2esx2T + -1n2t + xT = 0

Solving
c2esx2T + -1n2t + xT = 0

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

Add '-1c2esx2T' to each side of the equation.
c2esx2T + -1n2t + -1c2esx2T + xT = 0 + -1c2esx2T

Reorder the terms:
c2esx2T + -1c2esx2T + -1n2t + xT = 0 + -1c2esx2T

Combine like terms: c2esx2T + -1c2esx2T = 0
0 + -1n2t + xT = 0 + -1c2esx2T
-1n2t + xT = 0 + -1c2esx2T
Remove the zero:
-1n2t + xT = -1c2esx2T

Add 'n2t' to each side of the equation.
-1n2t + n2t + xT = -1c2esx2T + n2t

Combine like terms: -1n2t + n2t = 0
0 + xT = -1c2esx2T + n2t
xT = -1c2esx2T + n2t

Add '-1xT' to each side of the equation.
xT + -1xT = -1c2esx2T + n2t + -1xT

Combine like terms: xT + -1xT = 0
0 = -1c2esx2T + n2t + -1xT

Simplifying
0 = -1c2esx2T + n2t + -1xT

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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