15x^2+15x+308=0

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Solution for 15x^2+15x+308=0 equation:


Simplifying
15x2 + 15x + 308 = 0

Reorder the terms:
308 + 15x + 15x2 = 0

Solving
308 + 15x + 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'.
20.53333333 + x + x2 = 0

Move the constant term to the right:

Add '-20.53333333' to each side of the equation.
20.53333333 + x + -20.53333333 + x2 = 0 + -20.53333333

Reorder the terms:
20.53333333 + -20.53333333 + x + x2 = 0 + -20.53333333

Combine like terms: 20.53333333 + -20.53333333 = 0.00000000
0.00000000 + x + x2 = 0 + -20.53333333
x + x2 = 0 + -20.53333333

Combine like terms: 0 + -20.53333333 = -20.53333333
x + x2 = -20.53333333

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 = -20.53333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -20.53333333 + 0.25

Combine like terms: -20.53333333 + 0.25 = -20.28333333
1.25 + x2 = -20.28333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -20.28333333

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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