-x*x*x+(x+5)*(x+5)*(x+5)=485

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Solution for -x*x*x+(x+5)*(x+5)*(x+5)=485 equation: 


Simplifying
-1x * x * x + (x + 5)(x + 5)(x + 5) = 485

Multiply x * x
-1x2 * x + (x + 5)(x + 5)(x + 5) = 485

Multiply x2 * x
-1x3 + (x + 5)(x + 5)(x + 5) = 485

Reorder the terms:
-1x3 + (5 + x)(x + 5)(x + 5) = 485

Reorder the terms:
-1x3 + (5 + x)(5 + x)(x + 5) = 485

Reorder the terms:
-1x3 + (5 + x)(5 + x)(5 + x) = 485

Multiply (5 + x) * (5 + x)
-1x3 + (5(5 + x) + x(5 + x))(5 + x) = 485
-1x3 + ((5 * 5 + x * 5) + x(5 + x))(5 + x) = 485
-1x3 + ((25 + 5x) + x(5 + x))(5 + x) = 485
-1x3 + (25 + 5x + (5 * x + x * x))(5 + x) = 485
-1x3 + (25 + 5x + (5x + x2))(5 + x) = 485

Combine like terms: 5x + 5x = 10x
-1x3 + (25 + 10x + x2)(5 + x) = 485

Multiply (25 + 10x + x2) * (5 + x)
-1x3 + (25(5 + x) + 10x * (5 + x) + x2(5 + x)) = 485
-1x3 + ((5 * 25 + x * 25) + 10x * (5 + x) + x2(5 + x)) = 485
-1x3 + ((125 + 25x) + 10x * (5 + x) + x2(5 + x)) = 485
-1x3 + (125 + 25x + (5 * 10x + x * 10x) + x2(5 + x)) = 485
-1x3 + (125 + 25x + (50x + 10x2) + x2(5 + x)) = 485
-1x3 + (125 + 25x + 50x + 10x2 + (5 * x2 + x * x2)) = 485
-1x3 + (125 + 25x + 50x + 10x2 + (5x2 + x3)) = 485

Combine like terms: 25x + 50x = 75x
-1x3 + (125 + 75x + 10x2 + 5x2 + x3) = 485

Combine like terms: 10x2 + 5x2 = 15x2
-1x3 + (125 + 75x + 15x2 + x3) = 485

Reorder the terms:
125 + 75x + 15x2 + -1x3 + x3 = 485

Combine like terms: -1x3 + x3 = 0
125 + 75x + 15x2 + 0 = 485
125 + 75x + 15x2 = 485

Solving
125 + 75x + 15x2 = 485

Solving for variable 'x'.

Reorder the terms:
125 + -485 + 75x + 15x2 = 485 + -485

Combine like terms: 125 + -485 = -360
-360 + 75x + 15x2 = 485 + -485

Combine like terms: 485 + -485 = 0
-360 + 75x + 15x2 = 0

Factor out the Greatest Common Factor (GCF), '15'.
15(-24 + 5x + x2) = 0

Factor a trinomial.
15((-8 + -1x)(3 + -1x)) = 0

Ignore the factor 15.

Subproblem 1
Set the factor '(-8 + -1x)' equal to zero and attempt to solve:

Simplifying
-8 + -1x = 0

Solving
-8 + -1x = 0

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

Add '8' to each side of the equation.
-8 + 8 + -1x = 0 + 8

Combine like terms: -8 + 8 = 0
0 + -1x = 0 + 8
-1x = 0 + 8

Combine like terms: 0 + 8 = 8
-1x = 8

Divide each side by '-1'.
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(3 + -1x)' equal to zero and attempt to solve:

Simplifying
3 + -1x = 0

Solving
3 + -1x = 0

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

Add '-3' to each side of the equation.
3 + -3 + -1x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1x = 0 + -3
-1x = 0 + -3

Combine like terms: 0 + -3 = -3
-1x = -3

Divide each side by '-1'.
x = 3

Simplifying
x = 3
Solution
x = {-8, 3}

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