10sec^2(x)+5tan^2(x)-15=0

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Solution for 10sec^2(x)+5tan^2(x)-15=0 equation:


Simplifying
10sec2(x) + 5tan2(x) + -15 = 0

Multiply c2es * x
10c2esx + 5tan2(x) + -15 = 0

Multiply an2t * x
10c2esx + 5an2tx + -15 = 0

Reorder the terms:
-15 + 5an2tx + 10c2esx = 0

Solving
-15 + 5an2tx + 10c2esx = 0

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 5an2tx + 15 + 10c2esx = 0 + 15

Reorder the terms:
-15 + 15 + 5an2tx + 10c2esx = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 5an2tx + 10c2esx = 0 + 15
5an2tx + 10c2esx = 0 + 15

Combine like terms: 0 + 15 = 15
5an2tx + 10c2esx = 15

Add '-10c2esx' to each side of the equation.
5an2tx + 10c2esx + -10c2esx = 15 + -10c2esx

Combine like terms: 10c2esx + -10c2esx = 0
5an2tx + 0 = 15 + -10c2esx
5an2tx = 15 + -10c2esx

Divide each side by '5n2tx'.
a = 3n-2t-1x-1 + -2c2en-2st-1

Simplifying
a = 3n-2t-1x-1 + -2c2en-2st-1

Reorder the terms:
a = -2c2en-2st-1 + 3n-2t-1x-1

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