x-([29-2x]*(76x-45))=3x-4927373838282

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Solution for x-([29-2x]*(76x-45))=3x-4927373838282 equation:


Simplifying
x + -1([29 + -2x](76x + -45)) = 3x + -4927373838282

Reorder the terms:
x + -1([29 + -2x](-45 + 76x)) = 3x + -4927373838282

Multiply [29 + -2x] * (-45 + 76x)
x + -1([29(-45 + 76x) + -2x * (-45 + 76x)]) = 3x + -4927373838282
x + -1([(-45 * 29 + 76x * 29) + -2x * (-45 + 76x)]) = 3x + -4927373838282
x + -1([(-1305 + 2204x) + -2x * (-45 + 76x)]) = 3x + -4927373838282
x + -1([-1305 + 2204x + (-45 * -2x + 76x * -2x)]) = 3x + -4927373838282
x + -1([-1305 + 2204x + (90x + -152x2)]) = 3x + -4927373838282

Combine like terms: 2204x + 90x = 2294x
x + -1([-1305 + 2294x + -152x2]) = 3x + -4927373838282
x + (-1305 * -1 + 2294x * -1 + -152x2 * -1) = 3x + -4927373838282
x + (1305 + -2294x + 152x2) = 3x + -4927373838282

Reorder the terms:
1305 + x + -2294x + 152x2 = 3x + -4927373838282

Combine like terms: x + -2294x = -2293x
1305 + -2293x + 152x2 = 3x + -4927373838282

Reorder the terms:
1305 + -2293x + 152x2 = -4927373838282 + 3x

Solving
1305 + -2293x + 152x2 = -4927373838282 + 3x

Solving for variable 'x'.

Reorder the terms:
1305 + 4927373838282 + -2293x + -3x + 152x2 = -4927373838282 + 3x + 4927373838282 + -3x

Combine like terms: 1305 + 4927373838282 = 4927373839587
4927373839587 + -2293x + -3x + 152x2 = -4927373838282 + 3x + 4927373838282 + -3x

Combine like terms: -2293x + -3x = -2296x
4927373839587 + -2296x + 152x2 = -4927373838282 + 3x + 4927373838282 + -3x

Reorder the terms:
4927373839587 + -2296x + 152x2 = -4927373838282 + 4927373838282 + 3x + -3x

Combine like terms: -4927373838282 + 4927373838282 = 0
4927373839587 + -2296x + 152x2 = 0 + 3x + -3x
4927373839587 + -2296x + 152x2 = 3x + -3x

Combine like terms: 3x + -3x = 0
4927373839587 + -2296x + 152x2 = 0

Begin completing the square.  Divide all terms by
152 the coefficient of the squared term: 

Divide each side by '152'.
32416933160 + -15.10526316x + x2 = 0

Move the constant term to the right:

Add '-32416933160' to each side of the equation.
32416933160 + -15.10526316x + -32416933160 + x2 = 0 + -32416933160

Reorder the terms:
32416933160 + -32416933160 + -15.10526316x + x2 = 0 + -32416933160

Combine like terms: 32416933160 + -32416933160 = 0
0 + -15.10526316x + x2 = 0 + -32416933160
-15.10526316x + x2 = 0 + -32416933160

Combine like terms: 0 + -32416933160 = -32416933160
-15.10526316x + x2 = -32416933160

The x term is -15.10526316x.  Take half its coefficient (-7.55263158).
Square it (57.04224378) and add it to both sides.

Add '57.04224378' to each side of the equation.
-15.10526316x + 57.04224378 + x2 = -32416933160 + 57.04224378

Reorder the terms:
57.04224378 + -15.10526316x + x2 = -32416933160 + 57.04224378

Combine like terms: -32416933160 + 57.04224378 = -32416933102.95775622
57.04224378 + -15.10526316x + x2 = -32416933102.95775622

Factor a perfect square on the left side:
(x + -7.55263158)(x + -7.55263158) = -32416933102.95775622

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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