(x+2)(x+A)=x^2+Bx+20

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Solution for (x+2)(x+A)=x^2+Bx+20 equation: 


Simplifying
(x + 2)(x + A) = x2 + Bx + 20

Reorder the terms:
(2 + x)(x + A) = x2 + Bx + 20

Reorder the terms:
(2 + x)(A + x) = x2 + Bx + 20

Multiply (2 + x) * (A + x)
(2(A + x) + x(A + x)) = x2 + Bx + 20
((A * 2 + x * 2) + x(A + x)) = x2 + Bx + 20
((2A + 2x) + x(A + x)) = x2 + Bx + 20
(2A + 2x + (A * x + x * x)) = x2 + Bx + 20
(2A + 2x + (xA + x2)) = x2 + Bx + 20
(2A + 2x + xA + x2) = x2 + Bx + 20

Reorder the terms:
2A + 2x + xA + x2 = 20 + xB + x2

Add '-1x2' to each side of the equation.
2A + 2x + xA + x2 + -1x2 = 20 + xB + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2A + 2x + xA + 0 = 20 + xB + x2 + -1x2
2A + 2x + xA = 20 + xB + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2A + 2x + xA = 20 + xB + 0
2A + 2x + xA = 20 + xB

Solving
2A + 2x + xA = 20 + xB

Solving for variable 'A'.

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

Add '-2x' to each side of the equation.
2A + 2x + -2x + xA = 20 + -2x + xB

Combine like terms: 2x + -2x = 0
2A + 0 + xA = 20 + -2x + xB
2A + xA = 20 + -2x + xB

Reorder the terms:
-20 + 2A + 2x + xA + -1xB = 20 + -2x + xB + -20 + 2x + -1xB

Reorder the terms:
-20 + 2A + 2x + xA + -1xB = 20 + -20 + -2x + 2x + xB + -1xB

Combine like terms: 20 + -20 = 0
-20 + 2A + 2x + xA + -1xB = 0 + -2x + 2x + xB + -1xB
-20 + 2A + 2x + xA + -1xB = -2x + 2x + xB + -1xB

Combine like terms: -2x + 2x = 0
-20 + 2A + 2x + xA + -1xB = 0 + xB + -1xB
-20 + 2A + 2x + xA + -1xB = xB + -1xB

Combine like terms: xB + -1xB = 0
-20 + 2A + 2x + xA + -1xB = 0

The solution to this equation could not be determined.

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