2x^2-9x=-11

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Solution for 2x^2-9x=-11 equation:


Simplifying
2x2 + -9x = -11

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

Solving
-9x + 2x2 = -11

Solving for variable 'x'.

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

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

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

Divide each side by '2'.
5.5 + -4.5x + x2 = 0

Move the constant term to the right:

Add '-5.5' to each side of the equation.
5.5 + -4.5x + -5.5 + x2 = 0 + -5.5

Reorder the terms:
5.5 + -5.5 + -4.5x + x2 = 0 + -5.5

Combine like terms: 5.5 + -5.5 = 0.0
0.0 + -4.5x + x2 = 0 + -5.5
-4.5x + x2 = 0 + -5.5

Combine like terms: 0 + -5.5 = -5.5
-4.5x + x2 = -5.5

The x term is -4.5x.  Take half its coefficient (-2.25).
Square it (5.0625) and add it to both sides.

Add '5.0625' to each side of the equation.
-4.5x + 5.0625 + x2 = -5.5 + 5.0625

Reorder the terms:
5.0625 + -4.5x + x2 = -5.5 + 5.0625

Combine like terms: -5.5 + 5.0625 = -0.4375
5.0625 + -4.5x + x2 = -0.4375

Factor a perfect square on the left side:
(x + -2.25)(x + -2.25) = -0.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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