8x^2-64x+305=0

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Solution for 8x^2-64x+305=0 equation:


Simplifying
8x2 + -64x + 305 = 0

Reorder the terms:
305 + -64x + 8x2 = 0

Solving
305 + -64x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
38.125 + -8x + x2 = 0

Move the constant term to the right:

Add '-38.125' to each side of the equation.
38.125 + -8x + -38.125 + x2 = 0 + -38.125

Reorder the terms:
38.125 + -38.125 + -8x + x2 = 0 + -38.125

Combine like terms: 38.125 + -38.125 = 0.000
0.000 + -8x + x2 = 0 + -38.125
-8x + x2 = 0 + -38.125

Combine like terms: 0 + -38.125 = -38.125
-8x + x2 = -38.125

The x term is -8x.  Take half its coefficient (-4).
Square it (16) and add it to both sides.

Add '16' to each side of the equation.
-8x + 16 + x2 = -38.125 + 16

Reorder the terms:
16 + -8x + x2 = -38.125 + 16

Combine like terms: -38.125 + 16 = -22.125
16 + -8x + x2 = -22.125

Factor a perfect square on the left side:
(x + -4)(x + -4) = -22.125

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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