tg(45+x)tg(45+x)-3tgx=2

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Solution for tg(45+x)tg(45+x)-3tgx=2 equation:


Simplifying
tg(45 + x) * tg(45 + x) + -3tgx = 2

Reorder the terms for easier multiplication:
gt * gt(45 + x)(45 + x) + -3tgx = 2

Multiply gt * gt
g2t2(45 + x)(45 + x) + -3tgx = 2

Multiply (45 + x) * (45 + x)
g2t2(45(45 + x) + x(45 + x)) + -3tgx = 2
g2t2((45 * 45 + x * 45) + x(45 + x)) + -3tgx = 2
g2t2((2025 + 45x) + x(45 + x)) + -3tgx = 2
g2t2(2025 + 45x + (45 * x + x * x)) + -3tgx = 2
g2t2(2025 + 45x + (45x + x2)) + -3tgx = 2

Combine like terms: 45x + 45x = 90x
g2t2(2025 + 90x + x2) + -3tgx = 2
(2025 * g2t2 + 90x * g2t2 + x2 * g2t2) + -3tgx = 2
(2025g2t2 + 90g2t2x + g2t2x2) + -3tgx = 2

Reorder the terms:
-3gtx + 2025g2t2 + 90g2t2x + g2t2x2 = 2

Solving
-3gtx + 2025g2t2 + 90g2t2x + g2t2x2 = 2

Solving for variable 'g'.

Reorder the terms:
-2 + -3gtx + 2025g2t2 + 90g2t2x + g2t2x2 = 2 + -2

Combine like terms: 2 + -2 = 0
-2 + -3gtx + 2025g2t2 + 90g2t2x + g2t2x2 = 0

The solution to this equation could not be determined.

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