9x^2+3=-8x

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Solution for 9x^2+3=-8x equation:


Simplifying
9x2 + 3 = -8x

Reorder the terms:
3 + 9x2 = -8x

Solving
3 + 9x2 = -8x

Solving for variable 'x'.

Reorder the terms:
3 + 8x + 9x2 = -8x + 8x

Combine like terms: -8x + 8x = 0
3 + 8x + 9x2 = 0

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

Divide each side by '9'.
0.3333333333 + 0.8888888889x + x2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + 0.8888888889x + -0.3333333333 + x2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + 0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + 0.8888888889x + x2 = 0 + -0.3333333333
0.8888888889x + x2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
0.8888888889x + x2 = -0.3333333333

The x term is 0.8888888889x.  Take half its coefficient (0.4444444445).
Square it (0.1975308642) and add it to both sides.

Add '0.1975308642' to each side of the equation.
0.8888888889x + 0.1975308642 + x2 = -0.3333333333 + 0.1975308642

Reorder the terms:
0.1975308642 + 0.8888888889x + x2 = -0.3333333333 + 0.1975308642

Combine like terms: -0.3333333333 + 0.1975308642 = -0.1358024691
0.1975308642 + 0.8888888889x + x2 = -0.1358024691

Factor a perfect square on the left side:
(x + 0.4444444445)(x + 0.4444444445) = -0.1358024691

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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