(2x^2+3x+7)+(8x^2+3x-4)=

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


Simplifying
(2x2 + 3x + 7) + (8x2 + 3x + -4) = 0

Reorder the terms:
(7 + 3x + 2x2) + (8x2 + 3x + -4) = 0

Remove parenthesis around (7 + 3x + 2x2)
7 + 3x + 2x2 + (8x2 + 3x + -4) = 0

Reorder the terms:
7 + 3x + 2x2 + (-4 + 3x + 8x2) = 0

Remove parenthesis around (-4 + 3x + 8x2)
7 + 3x + 2x2 + -4 + 3x + 8x2 = 0

Reorder the terms:
7 + -4 + 3x + 3x + 2x2 + 8x2 = 0

Combine like terms: 7 + -4 = 3
3 + 3x + 3x + 2x2 + 8x2 = 0

Combine like terms: 3x + 3x = 6x
3 + 6x + 2x2 + 8x2 = 0

Combine like terms: 2x2 + 8x2 = 10x2
3 + 6x + 10x2 = 0

Solving
3 + 6x + 10x2 = 0

Solving for variable 'x'.

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

Divide each side by '10'.
0.3 + 0.6x + x2 = 0.0

Move the constant term to the right:

Add '-0.3' to each side of the equation.
0.3 + 0.6x + -0.3 + x2 = 0.0 + -0.3

Reorder the terms:
0.3 + -0.3 + 0.6x + x2 = 0.0 + -0.3

Combine like terms: 0.3 + -0.3 = 0.0
0.0 + 0.6x + x2 = 0.0 + -0.3
0.6x + x2 = 0.0 + -0.3

Combine like terms: 0.0 + -0.3 = -0.3
0.6x + x2 = -0.3

The x term is 0.6x.  Take half its coefficient (0.3).
Square it (0.09) and add it to both sides.

Add '0.09' to each side of the equation.
0.6x + 0.09 + x2 = -0.3 + 0.09

Reorder the terms:
0.09 + 0.6x + x2 = -0.3 + 0.09

Combine like terms: -0.3 + 0.09 = -0.21
0.09 + 0.6x + x2 = -0.21

Factor a perfect square on the left side:
(x + 0.3)(x + 0.3) = -0.21

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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