3(x+2)x=-8

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


Simplifying
3(x + 2) * x = -8

Reorder the terms:
3(2 + x) * x = -8

Reorder the terms for easier multiplication:
3x(2 + x) = -8
(2 * 3x + x * 3x) = -8
(6x + 3x2) = -8

Solving
6x + 3x2 = -8

Solving for variable 'x'.

Reorder the terms:
8 + 6x + 3x2 = -8 + 8

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

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

Divide each side by '3'.
2.666666667 + 2x + x2 = 0

Move the constant term to the right:

Add '-2.666666667' to each side of the equation.
2.666666667 + 2x + -2.666666667 + x2 = 0 + -2.666666667

Reorder the terms:
2.666666667 + -2.666666667 + 2x + x2 = 0 + -2.666666667

Combine like terms: 2.666666667 + -2.666666667 = 0.000000000
0.000000000 + 2x + x2 = 0 + -2.666666667
2x + x2 = 0 + -2.666666667

Combine like terms: 0 + -2.666666667 = -2.666666667
2x + x2 = -2.666666667

The x term is 2x.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2x + 1 + x2 = -2.666666667 + 1

Reorder the terms:
1 + 2x + x2 = -2.666666667 + 1

Combine like terms: -2.666666667 + 1 = -1.666666667
1 + 2x + x2 = -1.666666667

Factor a perfect square on the left side:
(x + 1)(x + 1) = -1.666666667

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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