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

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


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

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

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

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

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

Combine like terms: -50 + -3 = -53
5x + x2 = -53 + -10x + 5x2 + x3

Solving
5x + x2 = -53 + -10x + 5x2 + x3

Solving for variable 'x'.

Reorder the terms:
53 + 5x + 10x + x2 + -5x2 + -1x3 = -53 + -10x + 5x2 + x3 + 53 + 10x + -5x2 + -1x3

Combine like terms: 5x + 10x = 15x
53 + 15x + x2 + -5x2 + -1x3 = -53 + -10x + 5x2 + x3 + 53 + 10x + -5x2 + -1x3

Combine like terms: x2 + -5x2 = -4x2
53 + 15x + -4x2 + -1x3 = -53 + -10x + 5x2 + x3 + 53 + 10x + -5x2 + -1x3

Reorder the terms:
53 + 15x + -4x2 + -1x3 = -53 + 53 + -10x + 10x + 5x2 + -5x2 + x3 + -1x3

Combine like terms: -53 + 53 = 0
53 + 15x + -4x2 + -1x3 = 0 + -10x + 10x + 5x2 + -5x2 + x3 + -1x3
53 + 15x + -4x2 + -1x3 = -10x + 10x + 5x2 + -5x2 + x3 + -1x3

Combine like terms: -10x + 10x = 0
53 + 15x + -4x2 + -1x3 = 0 + 5x2 + -5x2 + x3 + -1x3
53 + 15x + -4x2 + -1x3 = 5x2 + -5x2 + x3 + -1x3

Combine like terms: 5x2 + -5x2 = 0
53 + 15x + -4x2 + -1x3 = 0 + x3 + -1x3
53 + 15x + -4x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
53 + 15x + -4x2 + -1x3 = 0

The solution to this equation could not be determined.

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