x^2+9x+8=(x+9)(x+h)

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Solution for x^2+9x+8=(x+9)(x+h) equation: 


Simplifying
x2 + 9x + 8 = (x + 9)(x + h)

Reorder the terms:
8 + 9x + x2 = (x + 9)(x + h)

Reorder the terms:
8 + 9x + x2 = (9 + x)(x + h)

Reorder the terms:
8 + 9x + x2 = (9 + x)(h + x)

Multiply (9 + x) * (h + x)
8 + 9x + x2 = (9(h + x) + x(h + x))
8 + 9x + x2 = ((h * 9 + x * 9) + x(h + x))
8 + 9x + x2 = ((9h + 9x) + x(h + x))
8 + 9x + x2 = (9h + 9x + (h * x + x * x))
8 + 9x + x2 = (9h + 9x + (hx + x2))

Reorder the terms:
8 + 9x + x2 = (9h + hx + 9x + x2)
8 + 9x + x2 = (9h + hx + 9x + x2)

Add '-9x' to each side of the equation.
8 + 9x + -9x + x2 = 9h + hx + 9x + -9x + x2

Combine like terms: 9x + -9x = 0
8 + 0 + x2 = 9h + hx + 9x + -9x + x2
8 + x2 = 9h + hx + 9x + -9x + x2

Combine like terms: 9x + -9x = 0
8 + x2 = 9h + hx + 0 + x2
8 + x2 = 9h + hx + x2

Add '-1x2' to each side of the equation.
8 + x2 + -1x2 = 9h + hx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 + 0 = 9h + hx + x2 + -1x2
8 = 9h + hx + x2 + -1x2

Combine like terms: x2 + -1x2 = 0
8 = 9h + hx + 0
8 = 9h + hx

Solving
8 = 9h + hx

Solving for variable 'h'.

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

Add '-9h' to each side of the equation.
8 + -9h = 9h + -9h + hx

Combine like terms: 9h + -9h = 0
8 + -9h = 0 + hx
8 + -9h = hx

Add '-1hx' to each side of the equation.
8 + -9h + -1hx = hx + -1hx

Combine like terms: hx + -1hx = 0
8 + -9h + -1hx = 0

Add '-8' to each side of the equation.
8 + -9h + -8 + -1hx = 0 + -8

Reorder the terms:
8 + -8 + -9h + -1hx = 0 + -8

Combine like terms: 8 + -8 = 0
0 + -9h + -1hx = 0 + -8
-9h + -1hx = 0 + -8

Combine like terms: 0 + -8 = -8
-9h + -1hx = -8

Reorder the terms:
8 + -9h + -1hx = -8 + 8

Combine like terms: -8 + 8 = 0
8 + -9h + -1hx = 0

The solution to this equation could not be determined.

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