(7x-1)(8-x)=56x-x*x

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Solution for (7x-1)(8-x)=56x-x*x equation: 


Simplifying
(7x + -1)(8 + -1x) = 56x + -1x * x

Reorder the terms:
(-1 + 7x)(8 + -1x) = 56x + -1x * x

Multiply (-1 + 7x) * (8 + -1x)
(-1(8 + -1x) + 7x * (8 + -1x)) = 56x + -1x * x
((8 * -1 + -1x * -1) + 7x * (8 + -1x)) = 56x + -1x * x
((-8 + 1x) + 7x * (8 + -1x)) = 56x + -1x * x
(-8 + 1x + (8 * 7x + -1x * 7x)) = 56x + -1x * x
(-8 + 1x + (56x + -7x2)) = 56x + -1x * x

Combine like terms: 1x + 56x = 57x
(-8 + 57x + -7x2) = 56x + -1x * x

Multiply x * x
-8 + 57x + -7x2 = 56x + -1x2

Solving
-8 + 57x + -7x2 = 56x + -1x2

Solving for variable 'x'.

Reorder the terms:
-8 + 57x + -56x + -7x2 + x2 = 56x + -1x2 + -56x + x2

Combine like terms: 57x + -56x = 1x
-8 + 1x + -7x2 + x2 = 56x + -1x2 + -56x + x2

Combine like terms: -7x2 + x2 = -6x2
-8 + 1x + -6x2 = 56x + -1x2 + -56x + x2

Reorder the terms:
-8 + 1x + -6x2 = 56x + -56x + -1x2 + x2

Combine like terms: 56x + -56x = 0
-8 + 1x + -6x2 = 0 + -1x2 + x2
-8 + 1x + -6x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-8 + 1x + -6x2 = 0

Begin completing the square.  Divide all terms by
-6 the coefficient of the squared term: 

Divide each side by '-6'.
1.333333333 + -0.1666666667x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -0.1666666667x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -0.1666666667x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -0.1666666667x + x2 = 0 + -1.333333333
-0.1666666667x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-0.1666666667x + x2 = -1.333333333

The x term is -0.1666666667x.  Take half its coefficient (-0.08333333335).
Square it (0.006944444447) and add it to both sides.

Add '0.006944444447' to each side of the equation.
-0.1666666667x + 0.006944444447 + x2 = -1.333333333 + 0.006944444447

Reorder the terms:
0.006944444447 + -0.1666666667x + x2 = -1.333333333 + 0.006944444447

Combine like terms: -1.333333333 + 0.006944444447 = -1.326388888553
0.006944444447 + -0.1666666667x + x2 = -1.326388888553

Factor a perfect square on the left side:
(x + -0.08333333335)(x + -0.08333333335) = -1.326388888553

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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