x^3+7x^2+11x+19x=0

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Solution for x^3+7x^2+11x+19x=0 equation: 


Simplifying
x3 + 7x2 + 11x + 19x = 0

Reorder the terms:
11x + 19x + 7x2 + x3 = 0

Combine like terms: 11x + 19x = 30x
30x + 7x2 + x3 = 0

Solving
30x + 7x2 + x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(30 + 7x + x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(30 + 7x + x2)' equal to zero and attempt to solve:

Simplifying
30 + 7x + x2 = 0

Solving
30 + 7x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-30' to each side of the equation.
30 + 7x + -30 + x2 = 0 + -30

Reorder the terms:
30 + -30 + 7x + x2 = 0 + -30

Combine like terms: 30 + -30 = 0
0 + 7x + x2 = 0 + -30
7x + x2 = 0 + -30

Combine like terms: 0 + -30 = -30
7x + x2 = -30

The x term is 7x.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7x + 12.25 + x2 = -30 + 12.25

Reorder the terms:
12.25 + 7x + x2 = -30 + 12.25

Combine like terms: -30 + 12.25 = -17.75
12.25 + 7x + x2 = -17.75

Factor a perfect square on the left side:
(x + 3.5)(x + 3.5) = -17.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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