x^2+22x+40=(x+2)(x+20)

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Solution for x^2+22x+40=(x+2)(x+20) equation: 


Simplifying
x2 + 22x + 40 = (x + 2)(x + 20)

Reorder the terms:
40 + 22x + x2 = (x + 2)(x + 20)

Reorder the terms:
40 + 22x + x2 = (2 + x)(x + 20)

Reorder the terms:
40 + 22x + x2 = (2 + x)(20 + x)

Multiply (2 + x) * (20 + x)
40 + 22x + x2 = (2(20 + x) + x(20 + x))
40 + 22x + x2 = ((20 * 2 + x * 2) + x(20 + x))
40 + 22x + x2 = ((40 + 2x) + x(20 + x))
40 + 22x + x2 = (40 + 2x + (20 * x + x * x))
40 + 22x + x2 = (40 + 2x + (20x + x2))

Combine like terms: 2x + 20x = 22x
40 + 22x + x2 = (40 + 22x + x2)

Add '-40' to each side of the equation.
40 + 22x + -40 + x2 = 40 + 22x + -40 + x2

Reorder the terms:
40 + -40 + 22x + x2 = 40 + 22x + -40 + x2

Combine like terms: 40 + -40 = 0
0 + 22x + x2 = 40 + 22x + -40 + x2
22x + x2 = 40 + 22x + -40 + x2

Reorder the terms:
22x + x2 = 40 + -40 + 22x + x2

Combine like terms: 40 + -40 = 0
22x + x2 = 0 + 22x + x2
22x + x2 = 22x + x2

Add '-22x' to each side of the equation.
22x + -22x + x2 = 22x + -22x + x2

Combine like terms: 22x + -22x = 0
0 + x2 = 22x + -22x + x2
x2 = 22x + -22x + x2

Combine like terms: 22x + -22x = 0
x2 = 0 + x2
x2 = x2

Add '-1x2' to each side of the equation.
x2 + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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