15x^2+14x+8=0

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Solution for 15x^2+14x+8=0 equation: 


Simplifying
15x2 + 14x + 8 = 0

Reorder the terms:
8 + 14x + 15x2 = 0

Solving
8 + 14x + 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'.
0.5333333333 + 0.9333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5333333333' to each side of the equation.
0.5333333333 + 0.9333333333x + -0.5333333333 + x2 = 0 + -0.5333333333

Reorder the terms:
0.5333333333 + -0.5333333333 + 0.9333333333x + x2 = 0 + -0.5333333333

Combine like terms: 0.5333333333 + -0.5333333333 = 0.0000000000
0.0000000000 + 0.9333333333x + x2 = 0 + -0.5333333333
0.9333333333x + x2 = 0 + -0.5333333333

Combine like terms: 0 + -0.5333333333 = -0.5333333333
0.9333333333x + x2 = -0.5333333333

The x term is 0.9333333333x.  Take half its coefficient (0.4666666667).
Square it (0.2177777778) and add it to both sides.

Add '0.2177777778' to each side of the equation.
0.9333333333x + 0.2177777778 + x2 = -0.5333333333 + 0.2177777778

Reorder the terms:
0.2177777778 + 0.9333333333x + x2 = -0.5333333333 + 0.2177777778

Combine like terms: -0.5333333333 + 0.2177777778 = -0.3155555555
0.2177777778 + 0.9333333333x + x2 = -0.3155555555

Factor a perfect square on the left side:
(x + 0.4666666667)(x + 0.4666666667) = -0.3155555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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