X+10=(x^2+4x+5)(x+2)

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Solution for X+10=(x^2+4x+5)(x+2) equation: 


Simplifying
X + 10 = (x2 + 4x + 5)(x + 2)

Reorder the terms:
10 + X = (x2 + 4x + 5)(x + 2)

Reorder the terms:
10 + X = (5 + 4x + x2)(x + 2)

Reorder the terms:
10 + X = (5 + 4x + x2)(2 + x)

Multiply (5 + 4x + x2) * (2 + x)
10 + X = (5(2 + x) + 4x * (2 + x) + x2(2 + x))
10 + X = ((2 * 5 + x * 5) + 4x * (2 + x) + x2(2 + x))
10 + X = ((10 + 5x) + 4x * (2 + x) + x2(2 + x))
10 + X = (10 + 5x + (2 * 4x + x * 4x) + x2(2 + x))
10 + X = (10 + 5x + (8x + 4x2) + x2(2 + x))
10 + X = (10 + 5x + 8x + 4x2 + (2 * x2 + x * x2))
10 + X = (10 + 5x + 8x + 4x2 + (2x2 + x3))

Combine like terms: 5x + 8x = 13x
10 + X = (10 + 13x + 4x2 + 2x2 + x3)

Combine like terms: 4x2 + 2x2 = 6x2
10 + X = (10 + 13x + 6x2 + x3)

Add '-10' to each side of the equation.
10 + -10 + X = 10 + 13x + 6x2 + -10 + x3

Combine like terms: 10 + -10 = 0
0 + X = 10 + 13x + 6x2 + -10 + x3
X = 10 + 13x + 6x2 + -10 + x3

Reorder the terms:
X = 10 + -10 + 13x + 6x2 + x3

Combine like terms: 10 + -10 = 0
X = 0 + 13x + 6x2 + x3
X = 13x + 6x2 + x3

Solving
X = 13x + 6x2 + x3

Solving for variable 'X'.

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

Simplifying
X = 13x + 6x2 + x3

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