(4x^2+8x)+(3x^2-5x+20)+(7x+30)+(31)=

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Solution for (4x^2+8x)+(3x^2-5x+20)+(7x+30)+(31)= equation: 


Simplifying
(4x2 + 8x) + (3x2 + -5x + 20) + (7x + 30) + (31) = 0

Reorder the terms:
(8x + 4x2) + (3x2 + -5x + 20) + (7x + 30) + (31) = 0

Remove parenthesis around (8x + 4x2)
8x + 4x2 + (3x2 + -5x + 20) + (7x + 30) + (31) = 0

Reorder the terms:
8x + 4x2 + (20 + -5x + 3x2) + (7x + 30) + (31) = 0

Remove parenthesis around (20 + -5x + 3x2)
8x + 4x2 + 20 + -5x + 3x2 + (7x + 30) + (31) = 0

Reorder the terms:
8x + 4x2 + 20 + -5x + 3x2 + (30 + 7x) + (31) = 0

Remove parenthesis around (30 + 7x)
8x + 4x2 + 20 + -5x + 3x2 + 30 + 7x + (31) = 0
8x + 4x2 + 20 + -5x + 3x2 + 30 + 7x + 31 = 0

Reorder the terms:
20 + 30 + 31 + 8x + -5x + 7x + 4x2 + 3x2 = 0

Combine like terms: 20 + 30 = 50
50 + 31 + 8x + -5x + 7x + 4x2 + 3x2 = 0

Combine like terms: 50 + 31 = 81
81 + 8x + -5x + 7x + 4x2 + 3x2 = 0

Combine like terms: 8x + -5x = 3x
81 + 3x + 7x + 4x2 + 3x2 = 0

Combine like terms: 3x + 7x = 10x
81 + 10x + 4x2 + 3x2 = 0

Combine like terms: 4x2 + 3x2 = 7x2
81 + 10x + 7x2 = 0

Solving
81 + 10x + 7x2 = 0

Solving for variable 'x'.

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

Divide each side by '7'.
11.57142857 + 1.428571429x + x2 = 0

Move the constant term to the right:

Add '-11.57142857' to each side of the equation.
11.57142857 + 1.428571429x + -11.57142857 + x2 = 0 + -11.57142857

Reorder the terms:
11.57142857 + -11.57142857 + 1.428571429x + x2 = 0 + -11.57142857

Combine like terms: 11.57142857 + -11.57142857 = 0.00000000
0.00000000 + 1.428571429x + x2 = 0 + -11.57142857
1.428571429x + x2 = 0 + -11.57142857

Combine like terms: 0 + -11.57142857 = -11.57142857
1.428571429x + x2 = -11.57142857

The x term is 1.428571429x.  Take half its coefficient (0.7142857145).
Square it (0.5102040819) and add it to both sides.

Add '0.5102040819' to each side of the equation.
1.428571429x + 0.5102040819 + x2 = -11.57142857 + 0.5102040819

Reorder the terms:
0.5102040819 + 1.428571429x + x2 = -11.57142857 + 0.5102040819

Combine like terms: -11.57142857 + 0.5102040819 = -11.0612244881
0.5102040819 + 1.428571429x + x2 = -11.0612244881

Factor a perfect square on the left side:
(x + 0.7142857145)(x + 0.7142857145) = -11.0612244881

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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