14x+9x^2=-12

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Solution for 14x+9x^2=-12 equation:


Simplifying
14x + 9x2 = -12

Solving
14x + 9x2 = -12

Solving for variable 'x'.

Reorder the terms:
12 + 14x + 9x2 = -12 + 12

Combine like terms: -12 + 12 = 0
12 + 14x + 9x2 = 0

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

Divide each side by '9'.
1.333333333 + 1.555555556x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + 1.555555556x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + 1.555555556x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + 1.555555556x + x2 = 0 + -1.333333333
1.555555556x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
1.555555556x + x2 = -1.333333333

The x term is 1.555555556x.  Take half its coefficient (0.777777778).
Square it (0.6049382720) and add it to both sides.

Add '0.6049382720' to each side of the equation.
1.555555556x + 0.6049382720 + x2 = -1.333333333 + 0.6049382720

Reorder the terms:
0.6049382720 + 1.555555556x + x2 = -1.333333333 + 0.6049382720

Combine like terms: -1.333333333 + 0.6049382720 = -0.728395061
0.6049382720 + 1.555555556x + x2 = -0.728395061

Factor a perfect square on the left side:
(x + 0.777777778)(x + 0.777777778) = -0.728395061

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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