4x^2+13x+11=-3x-5

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Solution for 4x^2+13x+11=-3x-5 equation: 


Simplifying
4x2 + 13x + 11 = -3x + -5

Reorder the terms:
11 + 13x + 4x2 = -3x + -5

Reorder the terms:
11 + 13x + 4x2 = -5 + -3x

Solving
11 + 13x + 4x2 = -5 + -3x

Solving for variable 'x'.

Reorder the terms:
11 + 5 + 13x + 3x + 4x2 = -5 + -3x + 5 + 3x

Combine like terms: 11 + 5 = 16
16 + 13x + 3x + 4x2 = -5 + -3x + 5 + 3x

Combine like terms: 13x + 3x = 16x
16 + 16x + 4x2 = -5 + -3x + 5 + 3x

Reorder the terms:
16 + 16x + 4x2 = -5 + 5 + -3x + 3x

Combine like terms: -5 + 5 = 0
16 + 16x + 4x2 = 0 + -3x + 3x
16 + 16x + 4x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
16 + 16x + 4x2 = 0

Factor out the Greatest Common Factor (GCF), '4'.
4(4 + 4x + x2) = 0

Factor a trinomial.
4((2 + x)(2 + x)) = 0

Ignore the factor 4.

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2

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

Simplifying
2 + x = 0

Solving
2 + x = 0

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

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

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

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

Simplifying
x = -2
Solution
x = {-2, -2}

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