3628800=x+8(7-x(2x+8)-7x)+12

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Solution for 3628800=x+8(7-x(2x+8)-7x)+12 equation: 


Simplifying
3628800 = x + 8(7 + -1x(2x + 8) + -7x) + 12

Reorder the terms:
3628800 = x + 8(7 + -1x(8 + 2x) + -7x) + 12
3628800 = x + 8(7 + (8 * -1x + 2x * -1x) + -7x) + 12
3628800 = x + 8(7 + (-8x + -2x2) + -7x) + 12

Reorder the terms:
3628800 = x + 8(7 + -8x + -7x + -2x2) + 12

Combine like terms: -8x + -7x = -15x
3628800 = x + 8(7 + -15x + -2x2) + 12
3628800 = x + (7 * 8 + -15x * 8 + -2x2 * 8) + 12
3628800 = x + (56 + -120x + -16x2) + 12

Reorder the terms:
3628800 = 56 + 12 + x + -120x + -16x2

Combine like terms: 56 + 12 = 68
3628800 = 68 + x + -120x + -16x2

Combine like terms: x + -120x = -119x
3628800 = 68 + -119x + -16x2

Solving
3628800 = 68 + -119x + -16x2

Solving for variable 'x'.

Combine like terms: 3628800 + -68 = 3628732
3628732 + 119x + 16x2 = 68 + -119x + -16x2 + -68 + 119x + 16x2

Reorder the terms:
3628732 + 119x + 16x2 = 68 + -68 + -119x + 119x + -16x2 + 16x2

Combine like terms: 68 + -68 = 0
3628732 + 119x + 16x2 = 0 + -119x + 119x + -16x2 + 16x2
3628732 + 119x + 16x2 = -119x + 119x + -16x2 + 16x2

Combine like terms: -119x + 119x = 0
3628732 + 119x + 16x2 = 0 + -16x2 + 16x2
3628732 + 119x + 16x2 = -16x2 + 16x2

Combine like terms: -16x2 + 16x2 = 0
3628732 + 119x + 16x2 = 0

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

Divide each side by '16'.
226795.75 + 7.4375x + x2 = 0

Move the constant term to the right:

Add '-226795.75' to each side of the equation.
226795.75 + 7.4375x + -226795.75 + x2 = 0 + -226795.75

Reorder the terms:
226795.75 + -226795.75 + 7.4375x + x2 = 0 + -226795.75

Combine like terms: 226795.75 + -226795.75 = 0.00
0.00 + 7.4375x + x2 = 0 + -226795.75
7.4375x + x2 = 0 + -226795.75

Combine like terms: 0 + -226795.75 = -226795.75
7.4375x + x2 = -226795.75

The x term is 7.4375x.  Take half its coefficient (3.71875).
Square it (13.82910156) and add it to both sides.

Add '13.82910156' to each side of the equation.
7.4375x + 13.82910156 + x2 = -226795.75 + 13.82910156

Reorder the terms:
13.82910156 + 7.4375x + x2 = -226795.75 + 13.82910156

Combine like terms: -226795.75 + 13.82910156 = -226781.92089844
13.82910156 + 7.4375x + x2 = -226781.92089844

Factor a perfect square on the left side:
(x + 3.71875)(x + 3.71875) = -226781.92089844

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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