(X+5)-3=x(x+9)(x+6)-5

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Solution for (X+5)-3=x(x+9)(x+6)-5 equation: 


Simplifying
(X + 5) + -3 = x(x + 9)(x + 6) + -5

Reorder the terms:
(5 + X) + -3 = x(x + 9)(x + 6) + -5

Remove parenthesis around (5 + X)
5 + X + -3 = x(x + 9)(x + 6) + -5

Reorder the terms:
5 + -3 + X = x(x + 9)(x + 6) + -5

Combine like terms: 5 + -3 = 2
2 + X = x(x + 9)(x + 6) + -5

Reorder the terms:
2 + X = x(9 + x)(x + 6) + -5

Reorder the terms:
2 + X = x(9 + x)(6 + x) + -5

Multiply (9 + x) * (6 + x)
2 + X = x(9(6 + x) + x(6 + x)) + -5
2 + X = x((6 * 9 + x * 9) + x(6 + x)) + -5
2 + X = x((54 + 9x) + x(6 + x)) + -5
2 + X = x(54 + 9x + (6 * x + x * x)) + -5
2 + X = x(54 + 9x + (6x + x2)) + -5

Combine like terms: 9x + 6x = 15x
2 + X = x(54 + 15x + x2) + -5
2 + X = (54 * x + 15x * x + x2 * x) + -5
2 + X = (54x + 15x2 + x3) + -5

Reorder the terms:
2 + X = -5 + 54x + 15x2 + x3

Solving
2 + X = -5 + 54x + 15x2 + x3

Solving for variable 'X'.

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

Add '-2' to each side of the equation.
2 + -2 + X = -5 + 54x + 15x2 + -2 + x3

Combine like terms: 2 + -2 = 0
0 + X = -5 + 54x + 15x2 + -2 + x3
X = -5 + 54x + 15x2 + -2 + x3

Reorder the terms:
X = -5 + -2 + 54x + 15x2 + x3

Combine like terms: -5 + -2 = -7
X = -7 + 54x + 15x2 + x3

Simplifying
X = -7 + 54x + 15x2 + x3

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