(x+a)(x+8)=x^2+bx+24

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Solution for (x+a)(x+8)=x^2+bx+24 equation: 


Simplifying
(x + a)(x + 8) = x2 + bx + 24

Reorder the terms:
(a + x)(x + 8) = x2 + bx + 24

Reorder the terms:
(a + x)(8 + x) = x2 + bx + 24

Multiply (a + x) * (8 + x)
(a(8 + x) + x(8 + x)) = x2 + bx + 24
((8 * a + x * a) + x(8 + x)) = x2 + bx + 24
((8a + ax) + x(8 + x)) = x2 + bx + 24
(8a + ax + (8 * x + x * x)) = x2 + bx + 24
(8a + ax + (8x + x2)) = x2 + bx + 24
(8a + ax + 8x + x2) = x2 + bx + 24

Reorder the terms:
8a + ax + 8x + x2 = 24 + bx + x2

Add '-1x2' to each side of the equation.
8a + ax + 8x + x2 + -1x2 = 24 + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8a + ax + 8x + 0 = 24 + bx + x2 + -1x2
8a + ax + 8x = 24 + bx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8a + ax + 8x = 24 + bx + 0
8a + ax + 8x = 24 + bx

Solving
8a + ax + 8x = 24 + bx

Solving for variable 'a'.

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

Add '-8x' to each side of the equation.
8a + ax + 8x + -8x = 24 + bx + -8x

Combine like terms: 8x + -8x = 0
8a + ax + 0 = 24 + bx + -8x
8a + ax = 24 + bx + -8x

Reorder the terms:
-24 + 8a + ax + -1bx + 8x = 24 + bx + -8x + -24 + -1bx + 8x

Reorder the terms:
-24 + 8a + ax + -1bx + 8x = 24 + -24 + bx + -1bx + -8x + 8x

Combine like terms: 24 + -24 = 0
-24 + 8a + ax + -1bx + 8x = 0 + bx + -1bx + -8x + 8x
-24 + 8a + ax + -1bx + 8x = bx + -1bx + -8x + 8x

Combine like terms: bx + -1bx = 0
-24 + 8a + ax + -1bx + 8x = 0 + -8x + 8x
-24 + 8a + ax + -1bx + 8x = -8x + 8x

Combine like terms: -8x + 8x = 0
-24 + 8a + ax + -1bx + 8x = 0

The solution to this equation could not be determined.

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