0=x(x+3)(x+5)-10(x+5)

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Solution for 0=x(x+3)(x+5)-10(x+5) equation: 


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

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

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

Multiply (3 + x) * (5 + x)
0 = x(3(5 + x) + x(5 + x)) + -10(x + 5)
0 = x((5 * 3 + x * 3) + x(5 + x)) + -10(x + 5)
0 = x((15 + 3x) + x(5 + x)) + -10(x + 5)
0 = x(15 + 3x + (5 * x + x * x)) + -10(x + 5)
0 = x(15 + 3x + (5x + x2)) + -10(x + 5)

Combine like terms: 3x + 5x = 8x
0 = x(15 + 8x + x2) + -10(x + 5)
0 = (15 * x + 8x * x + x2 * x) + -10(x + 5)
0 = (15x + 8x2 + x3) + -10(x + 5)

Reorder the terms:
0 = 15x + 8x2 + x3 + -10(5 + x)
0 = 15x + 8x2 + x3 + (5 * -10 + x * -10)
0 = 15x + 8x2 + x3 + (-50 + -10x)

Reorder the terms:
0 = -50 + 15x + -10x + 8x2 + x3

Combine like terms: 15x + -10x = 5x
0 = -50 + 5x + 8x2 + x3

Solving
0 = -50 + 5x + 8x2 + x3

Solving for variable 'x'.

Combine like terms: 0 + 50 = 50
50 + -5x + -8x2 + -1x3 = -50 + 5x + 8x2 + x3 + 50 + -5x + -8x2 + -1x3

Reorder the terms:
50 + -5x + -8x2 + -1x3 = -50 + 50 + 5x + -5x + 8x2 + -8x2 + x3 + -1x3

Combine like terms: -50 + 50 = 0
50 + -5x + -8x2 + -1x3 = 0 + 5x + -5x + 8x2 + -8x2 + x3 + -1x3
50 + -5x + -8x2 + -1x3 = 5x + -5x + 8x2 + -8x2 + x3 + -1x3

Combine like terms: 5x + -5x = 0
50 + -5x + -8x2 + -1x3 = 0 + 8x2 + -8x2 + x3 + -1x3
50 + -5x + -8x2 + -1x3 = 8x2 + -8x2 + x3 + -1x3

Combine like terms: 8x2 + -8x2 = 0
50 + -5x + -8x2 + -1x3 = 0 + x3 + -1x3
50 + -5x + -8x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
50 + -5x + -8x2 + -1x3 = 0

The solution to this equation could not be determined.

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