(x+3)(x+3)=2x+5

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Solution for (x+3)(x+3)=2x+5 equation: 


Simplifying
(x + 3)(x + 3) = 2x + 5

Reorder the terms:
(3 + x)(x + 3) = 2x + 5

Reorder the terms:
(3 + x)(3 + x) = 2x + 5

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = 2x + 5
((3 * 3 + x * 3) + x(3 + x)) = 2x + 5
((9 + 3x) + x(3 + x)) = 2x + 5
(9 + 3x + (3 * x + x * x)) = 2x + 5
(9 + 3x + (3x + x2)) = 2x + 5

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = 2x + 5

Reorder the terms:
9 + 6x + x2 = 5 + 2x

Solving
9 + 6x + x2 = 5 + 2x

Solving for variable 'x'.

Reorder the terms:
9 + -5 + 6x + -2x + x2 = 5 + 2x + -5 + -2x

Combine like terms: 9 + -5 = 4
4 + 6x + -2x + x2 = 5 + 2x + -5 + -2x

Combine like terms: 6x + -2x = 4x
4 + 4x + x2 = 5 + 2x + -5 + -2x

Reorder the terms:
4 + 4x + x2 = 5 + -5 + 2x + -2x

Combine like terms: 5 + -5 = 0
4 + 4x + x2 = 0 + 2x + -2x
4 + 4x + x2 = 2x + -2x

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

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


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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