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

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


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

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

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

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

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

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

Multiply (-2 + -1x + x2) * (-5 + x)
(-2(-5 + x) + -1x * (-5 + x) + x2(-5 + x)) = 0
((-5 * -2 + x * -2) + -1x * (-5 + x) + x2(-5 + x)) = 0
((10 + -2x) + -1x * (-5 + x) + x2(-5 + x)) = 0
(10 + -2x + (-5 * -1x + x * -1x) + x2(-5 + x)) = 0
(10 + -2x + (5x + -1x2) + x2(-5 + x)) = 0
(10 + -2x + 5x + -1x2 + (-5 * x2 + x * x2)) = 0
(10 + -2x + 5x + -1x2 + (-5x2 + x3)) = 0

Combine like terms: -2x + 5x = 3x
(10 + 3x + -1x2 + -5x2 + x3) = 0

Combine like terms: -1x2 + -5x2 = -6x2
(10 + 3x + -6x2 + x3) = 0

Solving
10 + 3x + -6x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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