(x+2)(x+2)+20=(x+3)(x+2)

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Solution for (x+2)(x+2)+20=(x+3)(x+2) equation:


Simplifying
(x + 2)(x + 2) + 20 = (x + 3)(x + 2)

Reorder the terms:
(2 + x)(x + 2) + 20 = (x + 3)(x + 2)

Reorder the terms:
(2 + x)(2 + x) + 20 = (x + 3)(x + 2)

Multiply (2 + x) * (2 + x)
(2(2 + x) + x(2 + x)) + 20 = (x + 3)(x + 2)
((2 * 2 + x * 2) + x(2 + x)) + 20 = (x + 3)(x + 2)
((4 + 2x) + x(2 + x)) + 20 = (x + 3)(x + 2)
(4 + 2x + (2 * x + x * x)) + 20 = (x + 3)(x + 2)
(4 + 2x + (2x + x2)) + 20 = (x + 3)(x + 2)

Combine like terms: 2x + 2x = 4x
(4 + 4x + x2) + 20 = (x + 3)(x + 2)

Reorder the terms:
4 + 20 + 4x + x2 = (x + 3)(x + 2)

Combine like terms: 4 + 20 = 24
24 + 4x + x2 = (x + 3)(x + 2)

Reorder the terms:
24 + 4x + x2 = (3 + x)(x + 2)

Reorder the terms:
24 + 4x + x2 = (3 + x)(2 + x)

Multiply (3 + x) * (2 + x)
24 + 4x + x2 = (3(2 + x) + x(2 + x))
24 + 4x + x2 = ((2 * 3 + x * 3) + x(2 + x))
24 + 4x + x2 = ((6 + 3x) + x(2 + x))
24 + 4x + x2 = (6 + 3x + (2 * x + x * x))
24 + 4x + x2 = (6 + 3x + (2x + x2))

Combine like terms: 3x + 2x = 5x
24 + 4x + x2 = (6 + 5x + x2)

Add '-1x2' to each side of the equation.
24 + 4x + x2 + -1x2 = 6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 4x + 0 = 6 + 5x + x2 + -1x2
24 + 4x = 6 + 5x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
24 + 4x = 6 + 5x + 0
24 + 4x = 6 + 5x

Solving
24 + 4x = 6 + 5x

Solving for variable 'x'.

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

Add '-5x' to each side of the equation.
24 + 4x + -5x = 6 + 5x + -5x

Combine like terms: 4x + -5x = -1x
24 + -1x = 6 + 5x + -5x

Combine like terms: 5x + -5x = 0
24 + -1x = 6 + 0
24 + -1x = 6

Add '-24' to each side of the equation.
24 + -24 + -1x = 6 + -24

Combine like terms: 24 + -24 = 0
0 + -1x = 6 + -24
-1x = 6 + -24

Combine like terms: 6 + -24 = -18
-1x = -18

Divide each side by '-1'.
x = 18

Simplifying
x = 18

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