56x^2-256x=11x-325

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Solution for 56x^2-256x=11x-325 equation: 


Simplifying
56x2 + -256x = 11x + -325

Reorder the terms:
-256x + 56x2 = 11x + -325

Reorder the terms:
-256x + 56x2 = -325 + 11x

Solving
-256x + 56x2 = -325 + 11x

Solving for variable 'x'.

Reorder the terms:
325 + -256x + -11x + 56x2 = -325 + 11x + 325 + -11x

Combine like terms: -256x + -11x = -267x
325 + -267x + 56x2 = -325 + 11x + 325 + -11x

Reorder the terms:
325 + -267x + 56x2 = -325 + 325 + 11x + -11x

Combine like terms: -325 + 325 = 0
325 + -267x + 56x2 = 0 + 11x + -11x
325 + -267x + 56x2 = 11x + -11x

Combine like terms: 11x + -11x = 0
325 + -267x + 56x2 = 0

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

Divide each side by '56'.
5.803571429 + -4.767857143x + x2 = 0

Move the constant term to the right:

Add '-5.803571429' to each side of the equation.
5.803571429 + -4.767857143x + -5.803571429 + x2 = 0 + -5.803571429

Reorder the terms:
5.803571429 + -5.803571429 + -4.767857143x + x2 = 0 + -5.803571429

Combine like terms: 5.803571429 + -5.803571429 = 0.000000000
0.000000000 + -4.767857143x + x2 = 0 + -5.803571429
-4.767857143x + x2 = 0 + -5.803571429

Combine like terms: 0 + -5.803571429 = -5.803571429
-4.767857143x + x2 = -5.803571429

The x term is -4.767857143x.  Take half its coefficient (-2.383928572).
Square it (5.683115436) and add it to both sides.

Add '5.683115436' to each side of the equation.
-4.767857143x + 5.683115436 + x2 = -5.803571429 + 5.683115436

Reorder the terms:
5.683115436 + -4.767857143x + x2 = -5.803571429 + 5.683115436

Combine like terms: -5.803571429 + 5.683115436 = -0.120455993
5.683115436 + -4.767857143x + x2 = -0.120455993

Factor a perfect square on the left side:
(x + -2.383928572)(x + -2.383928572) = -0.120455993

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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