(secx-tanx)*(secx+tanx)=1

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Solution for (secx-tanx)*(secx+tanx)=1 equation: 


Simplifying
(secx + -1tanx)(secx + tanx) = 1

Reorder the terms:
(-1antx + cesx)(secx + tanx) = 1

Reorder the terms:
(-1antx + cesx)(antx + cesx) = 1

Multiply (-1antx + cesx) * (antx + cesx)
(-1antx * (antx + cesx) + cesx(antx + cesx)) = 1
((antx * -1antx + cesx * -1antx) + cesx(antx + cesx)) = 1

Reorder the terms:
((-1acenstx2 + -1a2n2t2x2) + cesx(antx + cesx)) = 1
((-1acenstx2 + -1a2n2t2x2) + cesx(antx + cesx)) = 1
(-1acenstx2 + -1a2n2t2x2 + (antx * cesx + cesx * cesx)) = 1
(-1acenstx2 + -1a2n2t2x2 + (acenstx2 + c2e2s2x2)) = 1

Reorder the terms:
(-1acenstx2 + acenstx2 + -1a2n2t2x2 + c2e2s2x2) = 1

Combine like terms: -1acenstx2 + acenstx2 = 0
(0 + -1a2n2t2x2 + c2e2s2x2) = 1
(-1a2n2t2x2 + c2e2s2x2) = 1

Solving
-1a2n2t2x2 + c2e2s2x2 = 1

Solving for variable 'a'.

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

Add '-1c2e2s2x2' to each side of the equation.
-1a2n2t2x2 + c2e2s2x2 + -1c2e2s2x2 = 1 + -1c2e2s2x2

Combine like terms: c2e2s2x2 + -1c2e2s2x2 = 0
-1a2n2t2x2 + 0 = 1 + -1c2e2s2x2
-1a2n2t2x2 = 1 + -1c2e2s2x2

Divide each side by '-1n2t2x2'.
a2 = -1n-2t-2x-2 + c2e2n-2s2t-2

Simplifying
a2 = -1n-2t-2x-2 + c2e2n-2s2t-2

Reorder the terms:
a2 = c2e2n-2s2t-2 + -1n-2t-2x-2

Reorder the terms:
a2 + -1c2e2n-2s2t-2 + n-2t-2x-2 = c2e2n-2s2t-2 + -1c2e2n-2s2t-2 + -1n-2t-2x-2 + n-2t-2x-2

Combine like terms: c2e2n-2s2t-2 + -1c2e2n-2s2t-2 = 0
a2 + -1c2e2n-2s2t-2 + n-2t-2x-2 = 0 + -1n-2t-2x-2 + n-2t-2x-2
a2 + -1c2e2n-2s2t-2 + n-2t-2x-2 = -1n-2t-2x-2 + n-2t-2x-2

Combine like terms: -1n-2t-2x-2 + n-2t-2x-2 = 0
a2 + -1c2e2n-2s2t-2 + n-2t-2x-2 = 0

The solution to this equation could not be determined.

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