3sec^2x-5=4tanx

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Solution for 3sec^2x-5=4tanx equation: 


Simplifying
3sec2x + -5 = 4tanx

Reorder the terms:
-5 + 3c2esx = 4tanx

Solving
-5 + 3c2esx = 4antx

Solving for variable 'c'.

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

Add '5' to each side of the equation.
-5 + 5 + 3c2esx = 5 + 4antx

Combine like terms: -5 + 5 = 0
0 + 3c2esx = 5 + 4antx
3c2esx = 5 + 4antx

Divide each side by '3esx'.
c2 = 1.666666667e-1s-1x-1 + 1.333333333ae-1ns-1t

Simplifying
c2 = 1.666666667e-1s-1x-1 + 1.333333333ae-1ns-1t

Reorder the terms:
c2 = 1.333333333ae-1ns-1t + 1.666666667e-1s-1x-1

Reorder the terms:
-1.333333333ae-1ns-1t + c2 + -1.666666667e-1s-1x-1 = 1.333333333ae-1ns-1t + 1.666666667e-1s-1x-1 + -1.333333333ae-1ns-1t + -1.666666667e-1s-1x-1

Reorder the terms:
-1.333333333ae-1ns-1t + c2 + -1.666666667e-1s-1x-1 = 1.333333333ae-1ns-1t + -1.333333333ae-1ns-1t + 1.666666667e-1s-1x-1 + -1.666666667e-1s-1x-1

Combine like terms: 1.333333333ae-1ns-1t + -1.333333333ae-1ns-1t = 0.000000000
-1.333333333ae-1ns-1t + c2 + -1.666666667e-1s-1x-1 = 0.000000000 + 1.666666667e-1s-1x-1 + -1.666666667e-1s-1x-1
-1.333333333ae-1ns-1t + c2 + -1.666666667e-1s-1x-1 = 1.666666667e-1s-1x-1 + -1.666666667e-1s-1x-1

Combine like terms: 1.666666667e-1s-1x-1 + -1.666666667e-1s-1x-1 = 0.000000000
-1.333333333ae-1ns-1t + c2 + -1.666666667e-1s-1x-1 = 0.000000000

The solution to this equation could not be determined.

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