4(625x^4-100x^2+4)+275u^2-2-3=0

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Solution for 4(625x^4-100x^2+4)+275u^2-2-3=0 equation:


Simplifying
4(625x4 + -100x2 + 4) + 275u2 + -2 + -3 = 0

Reorder the terms:
4(4 + -100x2 + 625x4) + 275u2 + -2 + -3 = 0
(4 * 4 + -100x2 * 4 + 625x4 * 4) + 275u2 + -2 + -3 = 0
(16 + -400x2 + 2500x4) + 275u2 + -2 + -3 = 0

Reorder the terms:
16 + -2 + -3 + 275u2 + -400x2 + 2500x4 = 0

Combine like terms: 16 + -2 = 14
14 + -3 + 275u2 + -400x2 + 2500x4 = 0

Combine like terms: 14 + -3 = 11
11 + 275u2 + -400x2 + 2500x4 = 0

Solving
11 + 275u2 + -400x2 + 2500x4 = 0

Solving for variable 'u'.

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

Add '-11' to each side of the equation.
11 + 275u2 + -400x2 + -11 + 2500x4 = 0 + -11

Reorder the terms:
11 + -11 + 275u2 + -400x2 + 2500x4 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 275u2 + -400x2 + 2500x4 = 0 + -11
275u2 + -400x2 + 2500x4 = 0 + -11

Combine like terms: 0 + -11 = -11
275u2 + -400x2 + 2500x4 = -11

Add '400x2' to each side of the equation.
275u2 + -400x2 + 400x2 + 2500x4 = -11 + 400x2

Combine like terms: -400x2 + 400x2 = 0
275u2 + 0 + 2500x4 = -11 + 400x2
275u2 + 2500x4 = -11 + 400x2

Add '-2500x4' to each side of the equation.
275u2 + 2500x4 + -2500x4 = -11 + 400x2 + -2500x4

Combine like terms: 2500x4 + -2500x4 = 0
275u2 + 0 = -11 + 400x2 + -2500x4
275u2 = -11 + 400x2 + -2500x4

Divide each side by '275'.
u2 = -0.04 + 1.454545455x2 + -9.090909091x4

Simplifying
u2 = -0.04 + 1.454545455x2 + -9.090909091x4

Reorder the terms:
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = -0.04 + 1.454545455x2 + -9.090909091x4 + 0.04 + -1.454545455x2 + 9.090909091x4

Reorder the terms:
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = -0.04 + 0.04 + 1.454545455x2 + -1.454545455x2 + -9.090909091x4 + 9.090909091x4

Combine like terms: -0.04 + 0.04 = 0.00
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = 0.00 + 1.454545455x2 + -1.454545455x2 + -9.090909091x4 + 9.090909091x4
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = 1.454545455x2 + -1.454545455x2 + -9.090909091x4 + 9.090909091x4

Combine like terms: 1.454545455x2 + -1.454545455x2 = 0.000000000
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = 0.000000000 + -9.090909091x4 + 9.090909091x4
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = -9.090909091x4 + 9.090909091x4

Combine like terms: -9.090909091x4 + 9.090909091x4 = 0.000000000
0.04 + u2 + -1.454545455x2 + 9.090909091x4 = 0.000000000

The solution to this equation could not be determined.

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