x(3x+11)+8=0

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Solution for x(3x+11)+8=0 equation: 


Simplifying
x(3x + 11) + 8 = 0

Reorder the terms:
x(11 + 3x) + 8 = 0
(11 * x + 3x * x) + 8 = 0
(11x + 3x2) + 8 = 0

Reorder the terms:
8 + 11x + 3x2 = 0

Solving
8 + 11x + 3x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(8 + 3x)(1 + x) = 0


Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-8' to each side of the equation.
8 + -8 + 3x = 0 + -8

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

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

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

Subproblem 2
Set the factor '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-2.666666667, -1}

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