3x-26=2x^2-8x+8

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Solution for 3x-26=2x^2-8x+8 equation: 


Simplifying
3x + -26 = 2x2 + -8x + 8

Reorder the terms:
-26 + 3x = 2x2 + -8x + 8

Reorder the terms:
-26 + 3x = 8 + -8x + 2x2

Solving
-26 + 3x = 8 + -8x + 2x2

Solving for variable 'x'.

Reorder the terms:
-26 + -8 + 3x + 8x + -2x2 = 8 + -8x + 2x2 + -8 + 8x + -2x2

Combine like terms: -26 + -8 = -34
-34 + 3x + 8x + -2x2 = 8 + -8x + 2x2 + -8 + 8x + -2x2

Combine like terms: 3x + 8x = 11x
-34 + 11x + -2x2 = 8 + -8x + 2x2 + -8 + 8x + -2x2

Reorder the terms:
-34 + 11x + -2x2 = 8 + -8 + -8x + 8x + 2x2 + -2x2

Combine like terms: 8 + -8 = 0
-34 + 11x + -2x2 = 0 + -8x + 8x + 2x2 + -2x2
-34 + 11x + -2x2 = -8x + 8x + 2x2 + -2x2

Combine like terms: -8x + 8x = 0
-34 + 11x + -2x2 = 0 + 2x2 + -2x2
-34 + 11x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-34 + 11x + -2x2 = 0

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

Divide each side by '-2'.
17 + -5.5x + x2 = 0

Move the constant term to the right:

Add '-17' to each side of the equation.
17 + -5.5x + -17 + x2 = 0 + -17

Reorder the terms:
17 + -17 + -5.5x + x2 = 0 + -17

Combine like terms: 17 + -17 = 0
0 + -5.5x + x2 = 0 + -17
-5.5x + x2 = 0 + -17

Combine like terms: 0 + -17 = -17
-5.5x + x2 = -17

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 = -17 + 7.5625

Reorder the terms:
7.5625 + -5.5x + x2 = -17 + 7.5625

Combine like terms: -17 + 7.5625 = -9.4375
7.5625 + -5.5x + x2 = -9.4375

Factor a perfect square on the left side:
(x + -2.75)(x + -2.75) = -9.4375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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