X^2+10x+9=(x+1)(ax+b)

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Solution for X^2+10x+9=(x+1)(ax+b) equation: 


Simplifying
X2 + 10x + 9 = (x + 1)(ax + b)

Reorder the terms:
9 + X2 + 10x = (x + 1)(ax + b)

Reorder the terms:
9 + X2 + 10x = (1 + x)(ax + b)

Multiply (1 + x) * (ax + b)
9 + X2 + 10x = (1(ax + b) + x(ax + b))
9 + X2 + 10x = ((ax * 1 + b * 1) + x(ax + b))
9 + X2 + 10x = ((1ax + 1b) + x(ax + b))
9 + X2 + 10x = (1ax + 1b + (ax * x + b * x))
9 + X2 + 10x = (1ax + 1b + (ax2 + bx))

Reorder the terms:
9 + X2 + 10x = (1ax + ax2 + 1b + bx)
9 + X2 + 10x = (1ax + ax2 + 1b + bx)

Solving
9 + X2 + 10x = 1ax + ax2 + 1b + bx

Solving for variable 'X'.

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

Add '-9' to each side of the equation.
9 + X2 + -9 + 10x = 1ax + ax2 + 1b + -9 + bx

Reorder the terms:
9 + -9 + X2 + 10x = 1ax + ax2 + 1b + -9 + bx

Combine like terms: 9 + -9 = 0
0 + X2 + 10x = 1ax + ax2 + 1b + -9 + bx
X2 + 10x = 1ax + ax2 + 1b + -9 + bx

Reorder the terms:
X2 + 10x = -9 + 1ax + ax2 + 1b + bx

Add '-10x' to each side of the equation.
X2 + 10x + -10x = -9 + 1ax + ax2 + 1b + bx + -10x

Combine like terms: 10x + -10x = 0
X2 + 0 = -9 + 1ax + ax2 + 1b + bx + -10x
X2 = -9 + 1ax + ax2 + 1b + bx + -10x

Simplifying
X2 = -9 + 1ax + ax2 + 1b + bx + -10x

Reorder the terms:
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = -9 + 1ax + ax2 + 1b + bx + -10x + 9 + -1ax + -1ax2 + -1b + -1bx + 10x

Reorder the terms:
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = -9 + 9 + 1ax + -1ax + ax2 + -1ax2 + 1b + -1b + bx + -1bx + -10x + 10x

Combine like terms: -9 + 9 = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0 + 1ax + -1ax + ax2 + -1ax2 + 1b + -1b + bx + -1bx + -10x + 10x
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 1ax + -1ax + ax2 + -1ax2 + 1b + -1b + bx + -1bx + -10x + 10x

Combine like terms: 1ax + -1ax = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0 + ax2 + -1ax2 + 1b + -1b + bx + -1bx + -10x + 10x
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = ax2 + -1ax2 + 1b + -1b + bx + -1bx + -10x + 10x

Combine like terms: ax2 + -1ax2 = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0 + 1b + -1b + bx + -1bx + -10x + 10x
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 1b + -1b + bx + -1bx + -10x + 10x

Combine like terms: 1b + -1b = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0 + bx + -1bx + -10x + 10x
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = bx + -1bx + -10x + 10x

Combine like terms: bx + -1bx = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0 + -10x + 10x
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = -10x + 10x

Combine like terms: -10x + 10x = 0
9 + X2 + -1ax + -1ax2 + -1b + -1bx + 10x = 0

The solution to this equation could not be determined.

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