5x(x-1)-(2x^2-7x)=-8

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Solution for 5x(x-1)-(2x^2-7x)=-8 equation: 


Simplifying
5x(x + -1) + -1(2x2 + -7x) = -8

Reorder the terms:
5x(-1 + x) + -1(2x2 + -7x) = -8
(-1 * 5x + x * 5x) + -1(2x2 + -7x) = -8
(-5x + 5x2) + -1(2x2 + -7x) = -8

Reorder the terms:
-5x + 5x2 + -1(-7x + 2x2) = -8
-5x + 5x2 + (-7x * -1 + 2x2 * -1) = -8
-5x + 5x2 + (7x + -2x2) = -8

Reorder the terms:
-5x + 7x + 5x2 + -2x2 = -8

Combine like terms: -5x + 7x = 2x
2x + 5x2 + -2x2 = -8

Combine like terms: 5x2 + -2x2 = 3x2
2x + 3x2 = -8

Solving
2x + 3x2 = -8

Solving for variable 'x'.

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

Combine like terms: -8 + 8 = 0
8 + 2x + 3x2 = 0

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

Divide each side by '3'.
2.666666667 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 0.6666666667x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 0.6666666667x + x2 = 0 + -2.666666667
0.6666666667x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
0.6666666667x + x2 = -2.666666667

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -2.666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -2.666666667 + 0.1111111112

Combine like terms: -2.666666667 + 0.1111111112 = -2.5555555558
0.1111111112 + 0.6666666667x + x2 = -2.5555555558

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -2.5555555558

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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