10x^2+18x+39=0

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Solution for 10x^2+18x+39=0 equation:


Simplifying
10x2 + 18x + 39 = 0

Reorder the terms:
39 + 18x + 10x2 = 0

Solving
39 + 18x + 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'.
3.9 + 1.8x + x2 = 0

Move the constant term to the right:

Add '-3.9' to each side of the equation.
3.9 + 1.8x + -3.9 + x2 = 0 + -3.9

Reorder the terms:
3.9 + -3.9 + 1.8x + x2 = 0 + -3.9

Combine like terms: 3.9 + -3.9 = 0.0
0.0 + 1.8x + x2 = 0 + -3.9
1.8x + x2 = 0 + -3.9

Combine like terms: 0 + -3.9 = -3.9
1.8x + x2 = -3.9

The x term is 1.8x.  Take half its coefficient (0.9).
Square it (0.81) and add it to both sides.

Add '0.81' to each side of the equation.
1.8x + 0.81 + x2 = -3.9 + 0.81

Reorder the terms:
0.81 + 1.8x + x2 = -3.9 + 0.81

Combine like terms: -3.9 + 0.81 = -3.09
0.81 + 1.8x + x2 = -3.09

Factor a perfect square on the left side:
(x + 0.9)(x + 0.9) = -3.09

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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