100x^2-4x+4=0

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Solution for 100x^2-4x+4=0 equation: 


Simplifying
100x2 + -4x + 4 = 0

Reorder the terms:
4 + -4x + 100x2 = 0

Solving
4 + -4x + 100x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '4'.
4(1 + -1x + 25x2) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(1 + -1x + 25x2)' equal to zero and attempt to solve:

Simplifying
1 + -1x + 25x2 = 0

Solving
1 + -1x + 25x2 = 0

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

Divide each side by '25'.
0.04 + -0.04x + x2 = 0

Move the constant term to the right:

Add '-0.04' to each side of the equation.
0.04 + -0.04x + -0.04 + x2 = 0 + -0.04

Reorder the terms:
0.04 + -0.04 + -0.04x + x2 = 0 + -0.04

Combine like terms: 0.04 + -0.04 = 0.00
0.00 + -0.04x + x2 = 0 + -0.04
-0.04x + x2 = 0 + -0.04

Combine like terms: 0 + -0.04 = -0.04
-0.04x + x2 = -0.04

The x term is -0.04x.  Take half its coefficient (-0.02).
Square it (0.0004) and add it to both sides.

Add '0.0004' to each side of the equation.
-0.04x + 0.0004 + x2 = -0.04 + 0.0004

Reorder the terms:
0.0004 + -0.04x + x2 = -0.04 + 0.0004

Combine like terms: -0.04 + 0.0004 = -0.0396
0.0004 + -0.04x + x2 = -0.0396

Factor a perfect square on the left side:
(x + -0.02)(x + -0.02) = -0.0396

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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