18x^2+30x+19=0

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Solution for 18x^2+30x+19=0 equation:


Simplifying
18x2 + 30x + 19 = 0

Reorder the terms:
19 + 30x + 18x2 = 0

Solving
19 + 30x + 18x2 = 0

Solving for variable 'x'.

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

Divide each side by '18'.
1.055555556 + 1.666666667x + x2 = 0

Move the constant term to the right:

Add '-1.055555556' to each side of the equation.
1.055555556 + 1.666666667x + -1.055555556 + x2 = 0 + -1.055555556

Reorder the terms:
1.055555556 + -1.055555556 + 1.666666667x + x2 = 0 + -1.055555556

Combine like terms: 1.055555556 + -1.055555556 = 0.000000000
0.000000000 + 1.666666667x + x2 = 0 + -1.055555556
1.666666667x + x2 = 0 + -1.055555556

Combine like terms: 0 + -1.055555556 = -1.055555556
1.666666667x + x2 = -1.055555556

The x term is 1.666666667x.  Take half its coefficient (0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
1.666666667x + 0.6944444447 + x2 = -1.055555556 + 0.6944444447

Reorder the terms:
0.6944444447 + 1.666666667x + x2 = -1.055555556 + 0.6944444447

Combine like terms: -1.055555556 + 0.6944444447 = -0.3611111113
0.6944444447 + 1.666666667x + x2 = -0.3611111113

Factor a perfect square on the left side:
(x + 0.8333333335)(x + 0.8333333335) = -0.3611111113

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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