7x^2+7x+12=0

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Solution for 7x^2+7x+12=0 equation:


Simplifying
7x2 + 7x + 12 = 0

Reorder the terms:
12 + 7x + 7x2 = 0

Solving
12 + 7x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
1.714285714 + x + x2 = 0

Move the constant term to the right:

Add '-1.714285714' to each side of the equation.
1.714285714 + x + -1.714285714 + x2 = 0 + -1.714285714

Reorder the terms:
1.714285714 + -1.714285714 + x + x2 = 0 + -1.714285714

Combine like terms: 1.714285714 + -1.714285714 = 0.000000000
0.000000000 + x + x2 = 0 + -1.714285714
x + x2 = 0 + -1.714285714

Combine like terms: 0 + -1.714285714 = -1.714285714
x + x2 = -1.714285714

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 = -1.714285714 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.714285714 + 0.25

Combine like terms: -1.714285714 + 0.25 = -1.464285714
1.25 + x2 = -1.464285714

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.464285714

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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