(x+2)(x+b)=x^2+9x+14

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Solution for (x+2)(x+b)=x^2+9x+14 equation: 


Simplifying
(x + 2)(x + b) = x2 + 9x + 14

Reorder the terms:
(2 + x)(x + b) = x2 + 9x + 14

Reorder the terms:
(2 + x)(b + x) = x2 + 9x + 14

Multiply (2 + x) * (b + x)
(2(b + x) + x(b + x)) = x2 + 9x + 14
((b * 2 + x * 2) + x(b + x)) = x2 + 9x + 14
((2b + 2x) + x(b + x)) = x2 + 9x + 14
(2b + 2x + (b * x + x * x)) = x2 + 9x + 14
(2b + 2x + (bx + x2)) = x2 + 9x + 14

Reorder the terms:
(2b + bx + 2x + x2) = x2 + 9x + 14
(2b + bx + 2x + x2) = x2 + 9x + 14

Reorder the terms:
2b + bx + 2x + x2 = 14 + 9x + x2

Add '-1x2' to each side of the equation.
2b + bx + 2x + x2 + -1x2 = 14 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2b + bx + 2x + 0 = 14 + 9x + x2 + -1x2
2b + bx + 2x = 14 + 9x + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2b + bx + 2x = 14 + 9x + 0
2b + bx + 2x = 14 + 9x

Solving
2b + bx + 2x = 14 + 9x

Solving for variable 'b'.

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

Add '-2x' to each side of the equation.
2b + bx + 2x + -2x = 14 + 9x + -2x

Combine like terms: 2x + -2x = 0
2b + bx + 0 = 14 + 9x + -2x
2b + bx = 14 + 9x + -2x

Combine like terms: 9x + -2x = 7x
2b + bx = 14 + 7x

Reorder the terms:
-14 + 2b + bx + -7x = 14 + 7x + -14 + -7x

Reorder the terms:
-14 + 2b + bx + -7x = 14 + -14 + 7x + -7x

Combine like terms: 14 + -14 = 0
-14 + 2b + bx + -7x = 0 + 7x + -7x
-14 + 2b + bx + -7x = 7x + -7x

Combine like terms: 7x + -7x = 0
-14 + 2b + bx + -7x = 0

The solution to this equation could not be determined.

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