2x^2+12x+11=x-3

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Solution for 2x^2+12x+11=x-3 equation: 


Simplifying
2x2 + 12x + 11 = x + -3

Reorder the terms:
11 + 12x + 2x2 = x + -3

Reorder the terms:
11 + 12x + 2x2 = -3 + x

Solving
11 + 12x + 2x2 = -3 + x

Solving for variable 'x'.

Reorder the terms:
11 + 3 + 12x + -1x + 2x2 = -3 + x + 3 + -1x

Combine like terms: 11 + 3 = 14
14 + 12x + -1x + 2x2 = -3 + x + 3 + -1x

Combine like terms: 12x + -1x = 11x
14 + 11x + 2x2 = -3 + x + 3 + -1x

Reorder the terms:
14 + 11x + 2x2 = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
14 + 11x + 2x2 = 0 + x + -1x
14 + 11x + 2x2 = x + -1x

Combine like terms: x + -1x = 0
14 + 11x + 2x2 = 0

Factor a trinomial.
(7 + 2x)(2 + x) = 0


Subproblem 1
Set the factor '(7 + 2x)' equal to zero and attempt to solve:

Simplifying
7 + 2x = 0

Solving
7 + 2x = 0

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

Add '-7' to each side of the equation.
7 + -7 + 2x = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 2x = 0 + -7
2x = 0 + -7

Combine like terms: 0 + -7 = -7
2x = -7

Divide each side by '2'.
x = -3.5

Simplifying
x = -3.5

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 = {-3.5, -2}

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