45=(2x+10)(X+1)

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Solution for 45=(2x+10)(X+1) equation: 


Simplifying
45 = (2x + 10)(X + 1)

Reorder the terms:
45 = (10 + 2x)(X + 1)

Reorder the terms:
45 = (10 + 2x)(1 + X)

Multiply (10 + 2x) * (1 + X)
45 = (10(1 + X) + 2x * (1 + X))
45 = ((1 * 10 + X * 10) + 2x * (1 + X))
45 = ((10 + 10X) + 2x * (1 + X))
45 = (10 + 10X + (1 * 2x + X * 2x))
45 = (10 + 10X + (2x + 2xX))
45 = (10 + 10X + 2x + 2xX)

Solving
45 = 10 + 10X + 2x + 2xX

Solving for variable 'X'.

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

Add '-10X' to each side of the equation.
45 + -10X = 10 + 10X + 2x + -10X + 2xX

Reorder the terms:
45 + -10X = 10 + 10X + -10X + 2x + 2xX

Combine like terms: 10X + -10X = 0
45 + -10X = 10 + 0 + 2x + 2xX
45 + -10X = 10 + 2x + 2xX

Add '-2xX' to each side of the equation.
45 + -10X + -2xX = 10 + 2x + 2xX + -2xX

Combine like terms: 2xX + -2xX = 0
45 + -10X + -2xX = 10 + 2x + 0
45 + -10X + -2xX = 10 + 2x

Add '-45' to each side of the equation.
45 + -10X + -45 + -2xX = 10 + -45 + 2x

Reorder the terms:
45 + -45 + -10X + -2xX = 10 + -45 + 2x

Combine like terms: 45 + -45 = 0
0 + -10X + -2xX = 10 + -45 + 2x
-10X + -2xX = 10 + -45 + 2x

Combine like terms: 10 + -45 = -35
-10X + -2xX = -35 + 2x

Reorder the terms:
35 + -10X + -2x + -2xX = -35 + 2x + 35 + -2x

Reorder the terms:
35 + -10X + -2x + -2xX = -35 + 35 + 2x + -2x

Combine like terms: -35 + 35 = 0
35 + -10X + -2x + -2xX = 0 + 2x + -2x
35 + -10X + -2x + -2xX = 2x + -2x

Combine like terms: 2x + -2x = 0
35 + -10X + -2x + -2xX = 0

The solution to this equation could not be determined.

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