8x^2-4x+2=5x-11

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Solution for 8x^2-4x+2=5x-11 equation: 


Simplifying
8x2 + -4x + 2 = 5x + -11

Reorder the terms:
2 + -4x + 8x2 = 5x + -11

Reorder the terms:
2 + -4x + 8x2 = -11 + 5x

Solving
2 + -4x + 8x2 = -11 + 5x

Solving for variable 'x'.

Reorder the terms:
2 + 11 + -4x + -5x + 8x2 = -11 + 5x + 11 + -5x

Combine like terms: 2 + 11 = 13
13 + -4x + -5x + 8x2 = -11 + 5x + 11 + -5x

Combine like terms: -4x + -5x = -9x
13 + -9x + 8x2 = -11 + 5x + 11 + -5x

Reorder the terms:
13 + -9x + 8x2 = -11 + 11 + 5x + -5x

Combine like terms: -11 + 11 = 0
13 + -9x + 8x2 = 0 + 5x + -5x
13 + -9x + 8x2 = 5x + -5x

Combine like terms: 5x + -5x = 0
13 + -9x + 8x2 = 0

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

Divide each side by '8'.
1.625 + -1.125x + x2 = 0

Move the constant term to the right:

Add '-1.625' to each side of the equation.
1.625 + -1.125x + -1.625 + x2 = 0 + -1.625

Reorder the terms:
1.625 + -1.625 + -1.125x + x2 = 0 + -1.625

Combine like terms: 1.625 + -1.625 = 0.000
0.000 + -1.125x + x2 = 0 + -1.625
-1.125x + x2 = 0 + -1.625

Combine like terms: 0 + -1.625 = -1.625
-1.125x + x2 = -1.625

The x term is -1.125x.  Take half its coefficient (-0.5625).
Square it (0.31640625) and add it to both sides.

Add '0.31640625' to each side of the equation.
-1.125x + 0.31640625 + x2 = -1.625 + 0.31640625

Reorder the terms:
0.31640625 + -1.125x + x2 = -1.625 + 0.31640625

Combine like terms: -1.625 + 0.31640625 = -1.30859375
0.31640625 + -1.125x + x2 = -1.30859375

Factor a perfect square on the left side:
(x + -0.5625)(x + -0.5625) = -1.30859375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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