(x+a)(x+2)=x^2+bx-8

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Solution for (x+a)(x+2)=x^2+bx-8 equation: 


Simplifying
(x + a)(x + 2) = x2 + bx + -8

Reorder the terms:
(a + x)(x + 2) = x2 + bx + -8

Reorder the terms:
(a + x)(2 + x) = x2 + bx + -8

Multiply (a + x) * (2 + x)
(a(2 + x) + x(2 + x)) = x2 + bx + -8
((2 * a + x * a) + x(2 + x)) = x2 + bx + -8
((2a + ax) + x(2 + x)) = x2 + bx + -8
(2a + ax + (2 * x + x * x)) = x2 + bx + -8
(2a + ax + (2x + x2)) = x2 + bx + -8
(2a + ax + 2x + x2) = x2 + bx + -8

Reorder the terms:
2a + ax + 2x + x2 = -8 + bx + x2

Add '-1x2' to each side of the equation.
2a + ax + 2x + x2 + -1x2 = -8 + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2a + ax + 2x + 0 = -8 + bx + x2 + -1x2
2a + ax + 2x = -8 + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
2a + ax + 2x = -8 + bx + 0
2a + ax + 2x = -8 + bx

Solving
2a + ax + 2x = -8 + bx

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 + ax + 2x + -2x = -8 + bx + -2x

Combine like terms: 2x + -2x = 0
2a + ax + 0 = -8 + bx + -2x
2a + ax = -8 + bx + -2x

Reorder the terms:
8 + 2a + ax + -1bx + 2x = -8 + bx + -2x + 8 + -1bx + 2x

Reorder the terms:
8 + 2a + ax + -1bx + 2x = -8 + 8 + bx + -1bx + -2x + 2x

Combine like terms: -8 + 8 = 0
8 + 2a + ax + -1bx + 2x = 0 + bx + -1bx + -2x + 2x
8 + 2a + ax + -1bx + 2x = bx + -1bx + -2x + 2x

Combine like terms: bx + -1bx = 0
8 + 2a + ax + -1bx + 2x = 0 + -2x + 2x
8 + 2a + ax + -1bx + 2x = -2x + 2x

Combine like terms: -2x + 2x = 0
8 + 2a + ax + -1bx + 2x = 0

The solution to this equation could not be determined.

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