100x^2-20x+25=0

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Solution for 100x^2-20x+25=0 equation: 


Simplifying
100x2 + -20x + 25 = 0

Reorder the terms:
25 + -20x + 100x2 = 0

Solving
25 + -20x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5'.
5(5 + -4x + 20x2) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(5 + -4x + 20x2)' equal to zero and attempt to solve:

Simplifying
5 + -4x + 20x2 = 0

Solving
5 + -4x + 20x2 = 0

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

Divide each side by '20'.
0.25 + -0.2x + x2 = 0.0

Move the constant term to the right:

Add '-0.25' to each side of the equation.
0.25 + -0.2x + -0.25 + x2 = 0.0 + -0.25

Reorder the terms:
0.25 + -0.25 + -0.2x + x2 = 0.0 + -0.25

Combine like terms: 0.25 + -0.25 = 0.00
0.00 + -0.2x + x2 = 0.0 + -0.25
-0.2x + x2 = 0.0 + -0.25

Combine like terms: 0.0 + -0.25 = -0.25
-0.2x + x2 = -0.25

The x term is -0.2x.  Take half its coefficient (-0.1).
Square it (0.01) and add it to both sides.

Add '0.01' to each side of the equation.
-0.2x + 0.01 + x2 = -0.25 + 0.01

Reorder the terms:
0.01 + -0.2x + x2 = -0.25 + 0.01

Combine like terms: -0.25 + 0.01 = -0.24
0.01 + -0.2x + x2 = -0.24

Factor a perfect square on the left side:
(x + -0.1)(x + -0.1) = -0.24

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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