15x^2+19x+10=0

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Solution for 15x^2+19x+10=0 equation: 


Simplifying
15x2 + 19x + 10 = 0

Reorder the terms:
10 + 19x + 15x2 = 0

Solving
10 + 19x + 15x2 = 0

Solving for variable 'x'.

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

Divide each side by '15'.
0.6666666667 + 1.266666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 1.266666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 1.266666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 1.266666667x + x2 = 0 + -0.6666666667
1.266666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
1.266666667x + x2 = -0.6666666667

The x term is 1.266666667x.  Take half its coefficient (0.6333333335).
Square it (0.4011111113) and add it to both sides.

Add '0.4011111113' to each side of the equation.
1.266666667x + 0.4011111113 + x2 = -0.6666666667 + 0.4011111113

Reorder the terms:
0.4011111113 + 1.266666667x + x2 = -0.6666666667 + 0.4011111113

Combine like terms: -0.6666666667 + 0.4011111113 = -0.2655555554
0.4011111113 + 1.266666667x + x2 = -0.2655555554

Factor a perfect square on the left side:
(x + 0.6333333335)(x + 0.6333333335) = -0.2655555554

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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