x(x+5)=x^2(x+5)-10x(x+5)-3

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Solution for x(x+5)=x^2(x+5)-10x(x+5)-3 equation: 


Simplifying
x(x + 5) = x2(x + 5) + -10x(x + 5) + -3

Reorder the terms:
x(5 + x) = x2(x + 5) + -10x(x + 5) + -3
(5 * x + x * x) = x2(x + 5) + -10x(x + 5) + -3
(5x + x2) = x2(x + 5) + -10x(x + 5) + -3

Reorder the terms:
5x + x2 = x2(5 + x) + -10x(x + 5) + -3
5x + x2 = (5 * x2 + x * x2) + -10x(x + 5) + -3
5x + x2 = (5x2 + x3) + -10x(x + 5) + -3

Reorder the terms:
5x + x2 = 5x2 + x3 + -10x(5 + x) + -3
5x + x2 = 5x2 + x3 + (5 * -10x + x * -10x) + -3
5x + x2 = 5x2 + x3 + (-50x + -10x2) + -3

Reorder the terms:
5x + x2 = -3 + -50x + 5x2 + -10x2 + x3

Combine like terms: 5x2 + -10x2 = -5x2
5x + x2 = -3 + -50x + -5x2 + x3

Solving
5x + x2 = -3 + -50x + -5x2 + x3

Solving for variable 'x'.

Reorder the terms:
3 + 5x + 50x + x2 + 5x2 + -1x3 = -3 + -50x + -5x2 + x3 + 3 + 50x + 5x2 + -1x3

Combine like terms: 5x + 50x = 55x
3 + 55x + x2 + 5x2 + -1x3 = -3 + -50x + -5x2 + x3 + 3 + 50x + 5x2 + -1x3

Combine like terms: x2 + 5x2 = 6x2
3 + 55x + 6x2 + -1x3 = -3 + -50x + -5x2 + x3 + 3 + 50x + 5x2 + -1x3

Reorder the terms:
3 + 55x + 6x2 + -1x3 = -3 + 3 + -50x + 50x + -5x2 + 5x2 + x3 + -1x3

Combine like terms: -3 + 3 = 0
3 + 55x + 6x2 + -1x3 = 0 + -50x + 50x + -5x2 + 5x2 + x3 + -1x3
3 + 55x + 6x2 + -1x3 = -50x + 50x + -5x2 + 5x2 + x3 + -1x3

Combine like terms: -50x + 50x = 0
3 + 55x + 6x2 + -1x3 = 0 + -5x2 + 5x2 + x3 + -1x3
3 + 55x + 6x2 + -1x3 = -5x2 + 5x2 + x3 + -1x3

Combine like terms: -5x2 + 5x2 = 0
3 + 55x + 6x2 + -1x3 = 0 + x3 + -1x3
3 + 55x + 6x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
3 + 55x + 6x2 + -1x3 = 0

The solution to this equation could not be determined.

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