5x^2-4x+4=0

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Solution for 5x^2-4x+4=0 equation:


Simplifying
5x2 + -4x + 4 = 0

Reorder the terms:
4 + -4x + 5x2 = 0

Solving
4 + -4x + 5x2 = 0

Solving for variable 'x'.

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

Divide each side by '5'.
0.8 + -0.8x + x2 = 0

Move the constant term to the right:

Add '-0.8' to each side of the equation.
0.8 + -0.8x + -0.8 + x2 = 0 + -0.8

Reorder the terms:
0.8 + -0.8 + -0.8x + x2 = 0 + -0.8

Combine like terms: 0.8 + -0.8 = 0.0
0.0 + -0.8x + x2 = 0 + -0.8
-0.8x + x2 = 0 + -0.8

Combine like terms: 0 + -0.8 = -0.8
-0.8x + x2 = -0.8

The x term is -0.8x.  Take half its coefficient (-0.4).
Square it (0.16) and add it to both sides.

Add '0.16' to each side of the equation.
-0.8x + 0.16 + x2 = -0.8 + 0.16

Reorder the terms:
0.16 + -0.8x + x2 = -0.8 + 0.16

Combine like terms: -0.8 + 0.16 = -0.64
0.16 + -0.8x + x2 = -0.64

Factor a perfect square on the left side:
(x + -0.4)(x + -0.4) = -0.64

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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