10x^2+10x+3=0

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Solution for 10x^2+10x+3=0 equation:


Simplifying
10x2 + 10x + 3 = 0

Reorder the terms:
3 + 10x + 10x2 = 0

Solving
3 + 10x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.3 + x + x2 = 0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + x + -0.3 + x2 = 0 + -0.3

Reorder the terms:
0.3 + -0.3 + x + x2 = 0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + x + x2 = 0 + -0.3
x + x2 = 0 + -0.3

Combine like terms: 0 + -0.3 = -0.3
x + x2 = -0.3

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -0.3 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -0.3 + 0.25

Combine like terms: -0.3 + 0.25 = -0.05
1.25 + x2 = -0.05

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -0.05

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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