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

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

Reorder the terms for easier multiplication:
5x + x2 = 10x2(5 + x)(5 + x) + -3

Multiply (5 + x) * (5 + x)
5x + x2 = 10x2(5(5 + x) + x(5 + x)) + -3
5x + x2 = 10x2((5 * 5 + x * 5) + x(5 + x)) + -3
5x + x2 = 10x2((25 + 5x) + x(5 + x)) + -3
5x + x2 = 10x2(25 + 5x + (5 * x + x * x)) + -3
5x + x2 = 10x2(25 + 5x + (5x + x2)) + -3

Combine like terms: 5x + 5x = 10x
5x + x2 = 10x2(25 + 10x + x2) + -3
5x + x2 = (25 * 10x2 + 10x * 10x2 + x2 * 10x2) + -3
5x + x2 = (250x2 + 100x3 + 10x4) + -3

Reorder the terms:
5x + x2 = -3 + 250x2 + 100x3 + 10x4

Solving
5x + x2 = -3 + 250x2 + 100x3 + 10x4

Solving for variable 'x'.

Reorder the terms:
3 + 5x + x2 + -250x2 + -100x3 + -10x4 = -3 + 250x2 + 100x3 + 10x4 + 3 + -250x2 + -100x3 + -10x4

Combine like terms: x2 + -250x2 = -249x2
3 + 5x + -249x2 + -100x3 + -10x4 = -3 + 250x2 + 100x3 + 10x4 + 3 + -250x2 + -100x3 + -10x4

Reorder the terms:
3 + 5x + -249x2 + -100x3 + -10x4 = -3 + 3 + 250x2 + -250x2 + 100x3 + -100x3 + 10x4 + -10x4

Combine like terms: -3 + 3 = 0
3 + 5x + -249x2 + -100x3 + -10x4 = 0 + 250x2 + -250x2 + 100x3 + -100x3 + 10x4 + -10x4
3 + 5x + -249x2 + -100x3 + -10x4 = 250x2 + -250x2 + 100x3 + -100x3 + 10x4 + -10x4

Combine like terms: 250x2 + -250x2 = 0
3 + 5x + -249x2 + -100x3 + -10x4 = 0 + 100x3 + -100x3 + 10x4 + -10x4
3 + 5x + -249x2 + -100x3 + -10x4 = 100x3 + -100x3 + 10x4 + -10x4

Combine like terms: 100x3 + -100x3 = 0
3 + 5x + -249x2 + -100x3 + -10x4 = 0 + 10x4 + -10x4
3 + 5x + -249x2 + -100x3 + -10x4 = 10x4 + -10x4

Combine like terms: 10x4 + -10x4 = 0
3 + 5x + -249x2 + -100x3 + -10x4 = 0

The solution to this equation could not be determined.

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