5+7x+2+4x^2+3x+8x^2=

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Solution for 5+7x+2+4x^2+3x+8x^2= equation:


Simplifying
5 + 7x + 2 + 4x2 + 3x + 8x2 = 0

Reorder the terms:
5 + 2 + 7x + 3x + 4x2 + 8x2 = 0

Combine like terms: 5 + 2 = 7
7 + 7x + 3x + 4x2 + 8x2 = 0

Combine like terms: 7x + 3x = 10x
7 + 10x + 4x2 + 8x2 = 0

Combine like terms: 4x2 + 8x2 = 12x2
7 + 10x + 12x2 = 0

Solving
7 + 10x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
0.5833333333 + 0.8333333333x + x2 = 0

Move the constant term to the right:

Add '-0.5833333333' to each side of the equation.
0.5833333333 + 0.8333333333x + -0.5833333333 + x2 = 0 + -0.5833333333

Reorder the terms:
0.5833333333 + -0.5833333333 + 0.8333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0.5833333333 + -0.5833333333 = 0.0000000000
0.0000000000 + 0.8333333333x + x2 = 0 + -0.5833333333
0.8333333333x + x2 = 0 + -0.5833333333

Combine like terms: 0 + -0.5833333333 = -0.5833333333
0.8333333333x + x2 = -0.5833333333

The x term is 0.8333333333x.  Take half its coefficient (0.4166666667).
Square it (0.1736111111) and add it to both sides.

Add '0.1736111111' to each side of the equation.
0.8333333333x + 0.1736111111 + x2 = -0.5833333333 + 0.1736111111

Reorder the terms:
0.1736111111 + 0.8333333333x + x2 = -0.5833333333 + 0.1736111111

Combine like terms: -0.5833333333 + 0.1736111111 = -0.4097222222
0.1736111111 + 0.8333333333x + x2 = -0.4097222222

Factor a perfect square on the left side:
(x + 0.4166666667)(x + 0.4166666667) = -0.4097222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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