2x^2+11x+12=x+4

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Solution for 2x^2+11x+12=x+4 equation: 


Simplifying
2x2 + 11x + 12 = x + 4

Reorder the terms:
12 + 11x + 2x2 = x + 4

Reorder the terms:
12 + 11x + 2x2 = 4 + x

Solving
12 + 11x + 2x2 = 4 + x

Solving for variable 'x'.

Reorder the terms:
12 + -4 + 11x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: 12 + -4 = 8
8 + 11x + -1x + 2x2 = 4 + x + -4 + -1x

Combine like terms: 11x + -1x = 10x
8 + 10x + 2x2 = 4 + x + -4 + -1x

Reorder the terms:
8 + 10x + 2x2 = 4 + -4 + x + -1x

Combine like terms: 4 + -4 = 0
8 + 10x + 2x2 = 0 + x + -1x
8 + 10x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
8 + 10x + 2x2 = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(4 + 5x + x2) = 0

Factor a trinomial.
2((4 + x)(1 + x)) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4

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 = {-4, -1}

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