2sec^2x+tanx-6=0

Solution for 2sec^2x+tanx-6=0 equation:

Simplifying
2sec2x + tanx + -6 = 0

Reorder the terms:
-6 + antx + 2c2esx = 0

Solving
-6 + antx + 2c2esx = 0

Solving for variable 'a'.

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

Add '6' to each side of the equation.
-6 + antx + 6 + 2c2esx = 0 + 6

Reorder the terms:
-6 + 6 + antx + 2c2esx = 0 + 6

Combine like terms: -6 + 6 = 0
0 + antx + 2c2esx = 0 + 6
antx + 2c2esx = 0 + 6

Combine like terms: 0 + 6 = 6
antx + 2c2esx = 6

Add '-2c2esx' to each side of the equation.
antx + 2c2esx + -2c2esx = 6 + -2c2esx

Combine like terms: 2c2esx + -2c2esx = 0
antx + 0 = 6 + -2c2esx
antx = 6 + -2c2esx

Divide each side by 'ntx'.
a = 6n-1t-1x-1 + -2c2en-1st-1

Simplifying
a = 6n-1t-1x-1 + -2c2en-1st-1

Reorder the terms:
a = -2c2en-1st-1 + 6n-1t-1x-1