(x-1)(x-2)(x+5)=0

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Solution for (x-1)(x-2)(x+5)=0 equation: 


Simplifying
(x + -1)(x + -2)(x + 5) = 0

Reorder the terms:
(-1 + x)(x + -2)(x + 5) = 0

Reorder the terms:
(-1 + x)(-2 + x)(x + 5) = 0

Reorder the terms:
(-1 + x)(-2 + x)(5 + x) = 0

Multiply (-1 + x) * (-2 + x)
(-1(-2 + x) + x(-2 + x))(5 + x) = 0
((-2 * -1 + x * -1) + x(-2 + x))(5 + x) = 0
((2 + -1x) + x(-2 + x))(5 + x) = 0
(2 + -1x + (-2 * x + x * x))(5 + x) = 0
(2 + -1x + (-2x + x2))(5 + x) = 0

Combine like terms: -1x + -2x = -3x
(2 + -3x + x2)(5 + x) = 0

Multiply (2 + -3x + x2) * (5 + x)
(2(5 + x) + -3x * (5 + x) + x2(5 + x)) = 0
((5 * 2 + x * 2) + -3x * (5 + x) + x2(5 + x)) = 0
((10 + 2x) + -3x * (5 + x) + x2(5 + x)) = 0
(10 + 2x + (5 * -3x + x * -3x) + x2(5 + x)) = 0
(10 + 2x + (-15x + -3x2) + x2(5 + x)) = 0
(10 + 2x + -15x + -3x2 + (5 * x2 + x * x2)) = 0
(10 + 2x + -15x + -3x2 + (5x2 + x3)) = 0

Combine like terms: 2x + -15x = -13x
(10 + -13x + -3x2 + 5x2 + x3) = 0

Combine like terms: -3x2 + 5x2 = 2x2
(10 + -13x + 2x2 + x3) = 0

Solving
10 + -13x + 2x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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