6x^2+15+14x=0

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Solution for 6x^2+15+14x=0 equation:


Simplifying
6x2 + 15 + 14x = 0

Reorder the terms:
15 + 14x + 6x2 = 0

Solving
15 + 14x + 6x2 = 0

Solving for variable 'x'.

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

Divide each side by '6'.
2.5 + 2.333333333x + x2 = 0

Move the constant term to the right:

Add '-2.5' to each side of the equation.
2.5 + 2.333333333x + -2.5 + x2 = 0 + -2.5

Reorder the terms:
2.5 + -2.5 + 2.333333333x + x2 = 0 + -2.5

Combine like terms: 2.5 + -2.5 = 0.0
0.0 + 2.333333333x + x2 = 0 + -2.5
2.333333333x + x2 = 0 + -2.5

Combine like terms: 0 + -2.5 = -2.5
2.333333333x + x2 = -2.5

The x term is 2.333333333x.  Take half its coefficient (1.166666667).
Square it (1.361111112) and add it to both sides.

Add '1.361111112' to each side of the equation.
2.333333333x + 1.361111112 + x2 = -2.5 + 1.361111112

Reorder the terms:
1.361111112 + 2.333333333x + x2 = -2.5 + 1.361111112

Combine like terms: -2.5 + 1.361111112 = -1.138888888
1.361111112 + 2.333333333x + x2 = -1.138888888

Factor a perfect square on the left side:
(x + 1.166666667)(x + 1.166666667) = -1.138888888

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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