1.5625x^2-2x+1=0

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Solution for 1.5625x^2-2x+1=0 equation:


Simplifying
1.5625x2 + -2x + 1 = 0

Reorder the terms:
1 + -2x + 1.5625x2 = 0

Solving
1 + -2x + 1.5625x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
1.5625 the coefficient of the squared term: 

Divide each side by '1.5625'.
0.64 + -1.28x + x2 = 0

Move the constant term to the right:

Add '-0.64' to each side of the equation.
0.64 + -1.28x + -0.64 + x2 = 0 + -0.64

Reorder the terms:
0.64 + -0.64 + -1.28x + x2 = 0 + -0.64

Combine like terms: 0.64 + -0.64 = 0.00
0.00 + -1.28x + x2 = 0 + -0.64
-1.28x + x2 = 0 + -0.64

Combine like terms: 0 + -0.64 = -0.64
-1.28x + x2 = -0.64

The x term is -1.28x.  Take half its coefficient (-0.64).
Square it (0.4096) and add it to both sides.

Add '0.4096' to each side of the equation.
-1.28x + 0.4096 + x2 = -0.64 + 0.4096

Reorder the terms:
0.4096 + -1.28x + x2 = -0.64 + 0.4096

Combine like terms: -0.64 + 0.4096 = -0.2304
0.4096 + -1.28x + x2 = -0.2304

Factor a perfect square on the left side:
(x + -0.64)(x + -0.64) = -0.2304

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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