64x^2-80x+125=0

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Solution for 64x^2-80x+125=0 equation:


Simplifying
64x2 + -80x + 125 = 0

Reorder the terms:
125 + -80x + 64x2 = 0

Solving
125 + -80x + 64x2 = 0

Solving for variable 'x'.

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

Divide each side by '64'.
1.953125 + -1.25x + x2 = 0

Move the constant term to the right:

Add '-1.953125' to each side of the equation.
1.953125 + -1.25x + -1.953125 + x2 = 0 + -1.953125

Reorder the terms:
1.953125 + -1.953125 + -1.25x + x2 = 0 + -1.953125

Combine like terms: 1.953125 + -1.953125 = 0.000000
0.000000 + -1.25x + x2 = 0 + -1.953125
-1.25x + x2 = 0 + -1.953125

Combine like terms: 0 + -1.953125 = -1.953125
-1.25x + x2 = -1.953125

The x term is -1.25x.  Take half its coefficient (-0.625).
Square it (0.390625) and add it to both sides.

Add '0.390625' to each side of the equation.
-1.25x + 0.390625 + x2 = -1.953125 + 0.390625

Reorder the terms:
0.390625 + -1.25x + x2 = -1.953125 + 0.390625

Combine like terms: -1.953125 + 0.390625 = -1.5625
0.390625 + -1.25x + x2 = -1.5625

Factor a perfect square on the left side:
(x + -0.625)(x + -0.625) = -1.5625

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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