8tan^2(3x-1)-288=0

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Solution for 8tan^2(3x-1)-288=0 equation:


Simplifying
8tan2(3x + -1) + -288 = 0

Reorder the terms:
8an2t(-1 + 3x) + -288 = 0
(-1 * 8an2t + 3x * 8an2t) + -288 = 0
(-8an2t + 24an2tx) + -288 = 0

Reorder the terms:
-288 + -8an2t + 24an2tx = 0

Solving
-288 + -8an2t + 24an2tx = 0

Solving for variable 'a'.

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

Add '288' to each side of the equation.
-288 + -8an2t + 288 + 24an2tx = 0 + 288

Reorder the terms:
-288 + 288 + -8an2t + 24an2tx = 0 + 288

Combine like terms: -288 + 288 = 0
0 + -8an2t + 24an2tx = 0 + 288
-8an2t + 24an2tx = 0 + 288

Combine like terms: 0 + 288 = 288
-8an2t + 24an2tx = 288

Reorder the terms:
-288 + -8an2t + 24an2tx = 288 + -288

Combine like terms: 288 + -288 = 0
-288 + -8an2t + 24an2tx = 0

Factor out the Greatest Common Factor (GCF), '8'.
8(-36 + -1an2t + 3an2tx) = 0

Ignore the factor 8.

Subproblem 1

Set the factor '(-36 + -1an2t + 3an2tx)' equal to zero and attempt to solve: Simplifying -36 + -1an2t + 3an2tx = 0 Solving -36 + -1an2t + 3an2tx = 0 Move all terms containing a to the left, all other terms to the right. Add '36' to each side of the equation. -36 + -1an2t + 36 + 3an2tx = 0 + 36 Reorder the terms: -36 + 36 + -1an2t + 3an2tx = 0 + 36 Combine like terms: -36 + 36 = 0 0 + -1an2t + 3an2tx = 0 + 36 -1an2t + 3an2tx = 0 + 36 Combine like terms: 0 + 36 = 36 -1an2t + 3an2tx = 36 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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