4.25x^2+6.4x+2.5=0

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Solution for 4.25x^2+6.4x+2.5=0 equation: 


Simplifying
4.25x2 + 6.4x + 2.5 = 0

Reorder the terms:
2.5 + 6.4x + 4.25x2 = 0

Solving
2.5 + 6.4x + 4.25x2 = 0

Solving for variable 'x'.

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

Divide each side by '4.25'.
0.5882352941 + 1.505882353x + x2 = 0

Move the constant term to the right:

Add '-0.5882352941' to each side of the equation.
0.5882352941 + 1.505882353x + -0.5882352941 + x2 = 0 + -0.5882352941

Reorder the terms:
0.5882352941 + -0.5882352941 + 1.505882353x + x2 = 0 + -0.5882352941

Combine like terms: 0.5882352941 + -0.5882352941 = 0.0000000000
0.0000000000 + 1.505882353x + x2 = 0 + -0.5882352941
1.505882353x + x2 = 0 + -0.5882352941

Combine like terms: 0 + -0.5882352941 = -0.5882352941
1.505882353x + x2 = -0.5882352941

The x term is 1.505882353x.  Take half its coefficient (0.7529411765).
Square it (0.5669204153) and add it to both sides.

Add '0.5669204153' to each side of the equation.
1.505882353x + 0.5669204153 + x2 = -0.5882352941 + 0.5669204153

Reorder the terms:
0.5669204153 + 1.505882353x + x2 = -0.5882352941 + 0.5669204153

Combine like terms: -0.5882352941 + 0.5669204153 = -0.0213148788
0.5669204153 + 1.505882353x + x2 = -0.0213148788

Factor a perfect square on the left side:
(x + 0.7529411765)(x + 0.7529411765) = -0.0213148788

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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