(3x^2+2x+6)+(5x^2+x)=

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Solution for (3x^2+2x+6)+(5x^2+x)= equation:


Simplifying
(3x2 + 2x + 6) + (5x2 + x) = 0

Reorder the terms:
(6 + 2x + 3x2) + (5x2 + x) = 0

Remove parenthesis around (6 + 2x + 3x2)
6 + 2x + 3x2 + (5x2 + x) = 0

Reorder the terms:
6 + 2x + 3x2 + (x + 5x2) = 0

Remove parenthesis around (x + 5x2)
6 + 2x + 3x2 + x + 5x2 = 0

Reorder the terms:
6 + 2x + x + 3x2 + 5x2 = 0

Combine like terms: 2x + x = 3x
6 + 3x + 3x2 + 5x2 = 0

Combine like terms: 3x2 + 5x2 = 8x2
6 + 3x + 8x2 = 0

Solving
6 + 3x + 8x2 = 0

Solving for variable 'x'.

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

Divide each side by '8'.
0.75 + 0.375x + x2 = 0

Move the constant term to the right:

Add '-0.75' to each side of the equation.
0.75 + 0.375x + -0.75 + x2 = 0 + -0.75

Reorder the terms:
0.75 + -0.75 + 0.375x + x2 = 0 + -0.75

Combine like terms: 0.75 + -0.75 = 0.00
0.00 + 0.375x + x2 = 0 + -0.75
0.375x + x2 = 0 + -0.75

Combine like terms: 0 + -0.75 = -0.75
0.375x + x2 = -0.75

The x term is 0.375x.  Take half its coefficient (0.1875).
Square it (0.03515625) and add it to both sides.

Add '0.03515625' to each side of the equation.
0.375x + 0.03515625 + x2 = -0.75 + 0.03515625

Reorder the terms:
0.03515625 + 0.375x + x2 = -0.75 + 0.03515625

Combine like terms: -0.75 + 0.03515625 = -0.71484375
0.03515625 + 0.375x + x2 = -0.71484375

Factor a perfect square on the left side:
(x + 0.1875)(x + 0.1875) = -0.71484375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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