(x+2)(x+2)=2x^2+2x-11

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Solution for (x+2)(x+2)=2x^2+2x-11 equation: 


Simplifying
(x + 2)(x + 2) = 2x2 + 2x + -11

Reorder the terms:
(2 + x)(x + 2) = 2x2 + 2x + -11

Reorder the terms:
(2 + x)(2 + x) = 2x2 + 2x + -11

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) = 2x2 + 2x + -11
((2 * 2 + x * 2) + x(2 + x)) = 2x2 + 2x + -11
((4 + 2x) + x(2 + x)) = 2x2 + 2x + -11
(4 + 2x + (2 * x + x * x)) = 2x2 + 2x + -11
(4 + 2x + (2x + x2)) = 2x2 + 2x + -11

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) = 2x2 + 2x + -11

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

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

Solving for variable 'x'.

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

Combine like terms: 4 + 11 = 15
15 + 4x + -2x + x2 + -2x2 = -11 + 2x + 2x2 + 11 + -2x + -2x2

Combine like terms: 4x + -2x = 2x
15 + 2x + x2 + -2x2 = -11 + 2x + 2x2 + 11 + -2x + -2x2

Combine like terms: x2 + -2x2 = -1x2
15 + 2x + -1x2 = -11 + 2x + 2x2 + 11 + -2x + -2x2

Reorder the terms:
15 + 2x + -1x2 = -11 + 11 + 2x + -2x + 2x2 + -2x2

Combine like terms: -11 + 11 = 0
15 + 2x + -1x2 = 0 + 2x + -2x + 2x2 + -2x2
15 + 2x + -1x2 = 2x + -2x + 2x2 + -2x2

Combine like terms: 2x + -2x = 0
15 + 2x + -1x2 = 0 + 2x2 + -2x2
15 + 2x + -1x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
15 + 2x + -1x2 = 0

Factor a trinomial.
(5 + -1x)(3 + x) = 0


Subproblem 1
Set the factor '(5 + -1x)' equal to zero and attempt to solve:

Simplifying
5 + -1x = 0

Solving
5 + -1x = 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 + -1x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + -1x = 0 + -5
-1x = 0 + -5

Combine like terms: 0 + -5 = -5
-1x = -5

Divide each side by '-1'.
x = 5

Simplifying
x = 5

Subproblem 2
Set the factor '(3 + x)' equal to zero and attempt to solve:

Simplifying
3 + x = 0

Solving
3 + x = 0

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

Add '-3' to each side of the equation.
3 + -3 + x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + x = 0 + -3
x = 0 + -3

Combine like terms: 0 + -3 = -3
x = -3

Simplifying
x = -3
Solution
x = {5, -3}

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