(25x)*(25x)+10x+1=0

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Solution for (25x)*(25x)+10x+1=0 equation: 


Simplifying
(25x)(25x) + 10x + 1 = 0

Remove parenthesis around (25x)
25x(25x) + 10x + 1 = 0

Remove parenthesis around (25x)
25x * 25x + 10x + 1 = 0

Reorder the terms for easier multiplication:
25 * 25x * x + 10x + 1 = 0

Multiply 25 * 25
625x * x + 10x + 1 = 0

Multiply x * x
625x2 + 10x + 1 = 0

Reorder the terms:
1 + 10x + 625x2 = 0

Solving
1 + 10x + 625x2 = 0

Solving for variable 'x'.

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

Divide each side by '625'.
0.0016 + 0.016x + x2 = 0

Move the constant term to the right:

Add '-0.0016' to each side of the equation.
0.0016 + 0.016x + -0.0016 + x2 = 0 + -0.0016

Reorder the terms:
0.0016 + -0.0016 + 0.016x + x2 = 0 + -0.0016

Combine like terms: 0.0016 + -0.0016 = 0.0000
0.0000 + 0.016x + x2 = 0 + -0.0016
0.016x + x2 = 0 + -0.0016

Combine like terms: 0 + -0.0016 = -0.0016
0.016x + x2 = -0.0016

The x term is 0.016x.  Take half its coefficient (0.008).
Square it (0.000064) and add it to both sides.

Add '0.000064' to each side of the equation.
0.016x + 0.000064 + x2 = -0.0016 + 0.000064

Reorder the terms:
0.000064 + 0.016x + x2 = -0.0016 + 0.000064

Combine like terms: -0.0016 + 0.000064 = -0.001536
0.000064 + 0.016x + x2 = -0.001536

Factor a perfect square on the left side:
(x + 0.008)(x + 0.008) = -0.001536

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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