14x^2+15x+14=

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


Simplifying
14x2 + 15x + 14 = 0

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

Solving
14 + 15x + 14x2 = 0

Solving for variable 'x'.

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

Divide each side by '14'.
1 + 1.071428571x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + 1.071428571x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + 1.071428571x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + 1.071428571x + x2 = 0 + -1
1.071428571x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
1.071428571x + x2 = -1

The x term is 1.071428571x.  Take half its coefficient (0.5357142855).
Square it (0.2869897957) and add it to both sides.

Add '0.2869897957' to each side of the equation.
1.071428571x + 0.2869897957 + x2 = -1 + 0.2869897957

Reorder the terms:
0.2869897957 + 1.071428571x + x2 = -1 + 0.2869897957

Combine like terms: -1 + 0.2869897957 = -0.7130102043
0.2869897957 + 1.071428571x + x2 = -0.7130102043

Factor a perfect square on the left side:
(x + 0.5357142855)(x + 0.5357142855) = -0.7130102043

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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