tan^2x+4secx+5=0

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Solution for tan^2x+4secx+5=0 equation:


Simplifying
tan2x + 4secx + 5 = 0

Reorder the terms:
5 + an2tx + 4cesx = 0

Solving
5 + an2tx + 4cesx = 0

Solving for variable 'a'.

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

Add '-5' to each side of the equation.
5 + an2tx + -5 + 4cesx = 0 + -5

Reorder the terms:
5 + -5 + an2tx + 4cesx = 0 + -5

Combine like terms: 5 + -5 = 0
0 + an2tx + 4cesx = 0 + -5
an2tx + 4cesx = 0 + -5

Combine like terms: 0 + -5 = -5
an2tx + 4cesx = -5

Add '-4cesx' to each side of the equation.
an2tx + 4cesx + -4cesx = -5 + -4cesx

Combine like terms: 4cesx + -4cesx = 0
an2tx + 0 = -5 + -4cesx
an2tx = -5 + -4cesx

Divide each side by 'n2tx'.
a = -5n-2t-1x-1 + -4cen-2st-1

Simplifying
a = -5n-2t-1x-1 + -4cen-2st-1

Reorder the terms:
a = -4cen-2st-1 + -5n-2t-1x-1

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