4x^2-20x+25-x^2+4x+4=0

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Solution for 4x^2-20x+25-x^2+4x+4=0 equation: 


Simplifying
4x2 + -20x + 25 + -1x2 + 4x + 4 = 0

Reorder the terms:
25 + 4 + -20x + 4x + 4x2 + -1x2 = 0

Combine like terms: 25 + 4 = 29
29 + -20x + 4x + 4x2 + -1x2 = 0

Combine like terms: -20x + 4x = -16x
29 + -16x + 4x2 + -1x2 = 0

Combine like terms: 4x2 + -1x2 = 3x2
29 + -16x + 3x2 = 0

Solving
29 + -16x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
9.666666667 + -5.333333333x + x2 = 0

Move the constant term to the right:

Add '-9.666666667' to each side of the equation.
9.666666667 + -5.333333333x + -9.666666667 + x2 = 0 + -9.666666667

Reorder the terms:
9.666666667 + -9.666666667 + -5.333333333x + x2 = 0 + -9.666666667

Combine like terms: 9.666666667 + -9.666666667 = 0.000000000
0.000000000 + -5.333333333x + x2 = 0 + -9.666666667
-5.333333333x + x2 = 0 + -9.666666667

Combine like terms: 0 + -9.666666667 = -9.666666667
-5.333333333x + x2 = -9.666666667

The x term is -5.333333333x.  Take half its coefficient (-2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
-5.333333333x + 7.111111113 + x2 = -9.666666667 + 7.111111113

Reorder the terms:
7.111111113 + -5.333333333x + x2 = -9.666666667 + 7.111111113

Combine like terms: -9.666666667 + 7.111111113 = -2.555555554
7.111111113 + -5.333333333x + x2 = -2.555555554

Factor a perfect square on the left side:
(x + -2.666666667)(x + -2.666666667) = -2.555555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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