3x^2+10x=x-1-7

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Solution for 3x^2+10x=x-1-7 equation: 


Simplifying
3x2 + 10x = x + -1 + -7

Reorder the terms:
10x + 3x2 = x + -1 + -7

Reorder the terms:
10x + 3x2 = -1 + -7 + x

Combine like terms: -1 + -7 = -8
10x + 3x2 = -8 + x

Solving
10x + 3x2 = -8 + x

Solving for variable 'x'.

Reorder the terms:
8 + 10x + -1x + 3x2 = -8 + x + 8 + -1x

Combine like terms: 10x + -1x = 9x
8 + 9x + 3x2 = -8 + x + 8 + -1x

Reorder the terms:
8 + 9x + 3x2 = -8 + 8 + x + -1x

Combine like terms: -8 + 8 = 0
8 + 9x + 3x2 = 0 + x + -1x
8 + 9x + 3x2 = x + -1x

Combine like terms: x + -1x = 0
8 + 9x + 3x2 = 0

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

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

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 3x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 3x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 3x + x2 = 0 + -2.666666667
3x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
3x + x2 = -2.666666667

The x term is 3x.  Take half its coefficient (1.5).
Square it (2.25) and add it to both sides.

Add '2.25' to each side of the equation.
3x + 2.25 + x2 = -2.666666667 + 2.25

Reorder the terms:
2.25 + 3x + x2 = -2.666666667 + 2.25

Combine like terms: -2.666666667 + 2.25 = -0.416666667
2.25 + 3x + x2 = -0.416666667

Factor a perfect square on the left side:
(x + 1.5)(x + 1.5) = -0.416666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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