3x^2+11x-4=-4x-4

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Solution for 3x^2+11x-4=-4x-4 equation: 


Simplifying
3x2 + 11x + -4 = -4x + -4

Reorder the terms:
-4 + 11x + 3x2 = -4x + -4

Reorder the terms:
-4 + 11x + 3x2 = -4 + -4x

Add '4' to each side of the equation.
-4 + 11x + 4 + 3x2 = -4 + 4 + -4x

Reorder the terms:
-4 + 4 + 11x + 3x2 = -4 + 4 + -4x

Combine like terms: -4 + 4 = 0
0 + 11x + 3x2 = -4 + 4 + -4x
11x + 3x2 = -4 + 4 + -4x

Combine like terms: -4 + 4 = 0
11x + 3x2 = 0 + -4x
11x + 3x2 = -4x

Solving
11x + 3x2 = -4x

Solving for variable 'x'.

Reorder the terms:
11x + 4x + 3x2 = -4x + 4x

Combine like terms: 11x + 4x = 15x
15x + 3x2 = -4x + 4x

Combine like terms: -4x + 4x = 0
15x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3x'.
3x(5 + x) = 0

Ignore the factor 3.

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 '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5
Solution
x = {0, -5}

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