(8x+2)-(x-1)=x(3x+4)+8

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Solution for (8x+2)-(x-1)=x(3x+4)+8 equation: 


Simplifying
(8x + 2) + -1(x + -1) = x(3x + 4) + 8

Reorder the terms:
(2 + 8x) + -1(x + -1) = x(3x + 4) + 8

Remove parenthesis around (2 + 8x)
2 + 8x + -1(x + -1) = x(3x + 4) + 8

Reorder the terms:
2 + 8x + -1(-1 + x) = x(3x + 4) + 8
2 + 8x + (-1 * -1 + x * -1) = x(3x + 4) + 8
2 + 8x + (1 + -1x) = x(3x + 4) + 8

Reorder the terms:
2 + 1 + 8x + -1x = x(3x + 4) + 8

Combine like terms: 2 + 1 = 3
3 + 8x + -1x = x(3x + 4) + 8

Combine like terms: 8x + -1x = 7x
3 + 7x = x(3x + 4) + 8

Reorder the terms:
3 + 7x = x(4 + 3x) + 8
3 + 7x = (4 * x + 3x * x) + 8
3 + 7x = (4x + 3x2) + 8

Reorder the terms:
3 + 7x = 8 + 4x + 3x2

Solving
3 + 7x = 8 + 4x + 3x2

Solving for variable 'x'.

Reorder the terms:
3 + -8 + 7x + -4x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2

Combine like terms: 3 + -8 = -5
-5 + 7x + -4x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2

Combine like terms: 7x + -4x = 3x
-5 + 3x + -3x2 = 8 + 4x + 3x2 + -8 + -4x + -3x2

Reorder the terms:
-5 + 3x + -3x2 = 8 + -8 + 4x + -4x + 3x2 + -3x2

Combine like terms: 8 + -8 = 0
-5 + 3x + -3x2 = 0 + 4x + -4x + 3x2 + -3x2
-5 + 3x + -3x2 = 4x + -4x + 3x2 + -3x2

Combine like terms: 4x + -4x = 0
-5 + 3x + -3x2 = 0 + 3x2 + -3x2
-5 + 3x + -3x2 = 3x2 + -3x2

Combine like terms: 3x2 + -3x2 = 0
-5 + 3x + -3x2 = 0

Begin completing the square.  Divide all terms by
-3 the coefficient of the squared term: 

Divide each side by '-3'.
1.666666667 + -1x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -1x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -1x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -1x + x2 = 0 + -1.666666667
-1x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-1x + x2 = -1.666666667

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -1.666666667 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -1.666666667 + 0.25

Combine like terms: -1.666666667 + 0.25 = -1.416666667
0.25 + -1x + x2 = -1.416666667

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -1.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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