8(x^2-x)=x^2-7

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Solution for 8(x^2-x)=x^2-7 equation:


Simplifying
8(x2 + -1x) = x2 + -7

Reorder the terms:
8(-1x + x2) = x2 + -7
(-1x * 8 + x2 * 8) = x2 + -7
(-8x + 8x2) = x2 + -7

Reorder the terms:
-8x + 8x2 = -7 + x2

Solving
-8x + 8x2 = -7 + x2

Solving for variable 'x'.

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

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

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

Combine like terms: -7 + 7 = 0
7 + -8x + 7x2 = 0 + x2 + -1x2
7 + -8x + 7x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
7 + -8x + 7x2 = 0

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

Divide each side by '7'.
1 + -1.142857143x + x2 = 0

Move the constant term to the right:

Add '-1' to each side of the equation.
1 + -1.142857143x + -1 + x2 = 0 + -1

Reorder the terms:
1 + -1 + -1.142857143x + x2 = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -1.142857143x + x2 = 0 + -1
-1.142857143x + x2 = 0 + -1

Combine like terms: 0 + -1 = -1
-1.142857143x + x2 = -1

The x term is -1.142857143x.  Take half its coefficient (-0.5714285715).
Square it (0.3265306123) and add it to both sides.

Add '0.3265306123' to each side of the equation.
-1.142857143x + 0.3265306123 + x2 = -1 + 0.3265306123

Reorder the terms:
0.3265306123 + -1.142857143x + x2 = -1 + 0.3265306123

Combine like terms: -1 + 0.3265306123 = -0.6734693877
0.3265306123 + -1.142857143x + x2 = -0.6734693877

Factor a perfect square on the left side:
(x + -0.5714285715)(x + -0.5714285715) = -0.6734693877

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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