2x^2-11x=-47

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Solution for 2x^2-11x=-47 equation:


Simplifying
2x2 + -11x = -47

Reorder the terms:
-11x + 2x2 = -47

Solving
-11x + 2x2 = -47

Solving for variable 'x'.

Reorder the terms:
47 + -11x + 2x2 = -47 + 47

Combine like terms: -47 + 47 = 0
47 + -11x + 2x2 = 0

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

Divide each side by '2'.
23.5 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-23.5' to each side of the equation.
23.5 + -5.5x + -23.5 + x2 = 0 + -23.5

Reorder the terms:
23.5 + -23.5 + -5.5x + x2 = 0 + -23.5

Combine like terms: 23.5 + -23.5 = 0.0
0.0 + -5.5x + x2 = 0 + -23.5
-5.5x + x2 = 0 + -23.5

Combine like terms: 0 + -23.5 = -23.5
-5.5x + x2 = -23.5

The x term is -5.5x.  Take half its coefficient (-2.75).
Square it (7.5625) and add it to both sides.

Add '7.5625' to each side of the equation.
-5.5x + 7.5625 + x2 = -23.5 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -23.5 + 7.5625

Combine like terms: -23.5 + 7.5625 = -15.9375
7.5625 + -5.5x + x2 = -15.9375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -15.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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