0=3x^2+2x-9-11x^2

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Solution for 0=3x^2+2x-9-11x^2 equation: 


Simplifying
0 = 3x2 + 2x + -9 + -11x2

Reorder the terms:
0 = -9 + 2x + 3x2 + -11x2

Combine like terms: 3x2 + -11x2 = -8x2
0 = -9 + 2x + -8x2

Solving
0 = -9 + 2x + -8x2

Solving for variable 'x'.

Combine like terms: 0 + 9 = 9
9 + -2x + 8x2 = -9 + 2x + -8x2 + 9 + -2x + 8x2

Reorder the terms:
9 + -2x + 8x2 = -9 + 9 + 2x + -2x + -8x2 + 8x2

Combine like terms: -9 + 9 = 0
9 + -2x + 8x2 = 0 + 2x + -2x + -8x2 + 8x2
9 + -2x + 8x2 = 2x + -2x + -8x2 + 8x2

Combine like terms: 2x + -2x = 0
9 + -2x + 8x2 = 0 + -8x2 + 8x2
9 + -2x + 8x2 = -8x2 + 8x2

Combine like terms: -8x2 + 8x2 = 0
9 + -2x + 8x2 = 0

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

Divide each side by '8'.
1.125 + -0.25x + x2 = 0

Move the constant term to the right:

Add '-1.125' to each side of the equation.
1.125 + -0.25x + -1.125 + x2 = 0 + -1.125

Reorder the terms:
1.125 + -1.125 + -0.25x + x2 = 0 + -1.125

Combine like terms: 1.125 + -1.125 = 0.000
0.000 + -0.25x + x2 = 0 + -1.125
-0.25x + x2 = 0 + -1.125

Combine like terms: 0 + -1.125 = -1.125
-0.25x + x2 = -1.125

The x term is -0.25x.  Take half its coefficient (-0.125).
Square it (0.015625) and add it to both sides.

Add '0.015625' to each side of the equation.
-0.25x + 0.015625 + x2 = -1.125 + 0.015625

Reorder the terms:
0.015625 + -0.25x + x2 = -1.125 + 0.015625

Combine like terms: -1.125 + 0.015625 = -1.109375
0.015625 + -0.25x + x2 = -1.109375

Factor a perfect square on the left side:
(x + -0.125)(x + -0.125) = -1.109375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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