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

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


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

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

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

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

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

Combine like terms: -5x + -2x = -7x
(10 + -7x + x2)(5 + x) = 0

Multiply (10 + -7x + x2) * (5 + x)
(10(5 + x) + -7x * (5 + x) + x2(5 + x)) = 0
((5 * 10 + x * 10) + -7x * (5 + x) + x2(5 + x)) = 0
((50 + 10x) + -7x * (5 + x) + x2(5 + x)) = 0
(50 + 10x + (5 * -7x + x * -7x) + x2(5 + x)) = 0
(50 + 10x + (-35x + -7x2) + x2(5 + x)) = 0
(50 + 10x + -35x + -7x2 + (5 * x2 + x * x2)) = 0
(50 + 10x + -35x + -7x2 + (5x2 + x3)) = 0

Combine like terms: 10x + -35x = -25x
(50 + -25x + -7x2 + 5x2 + x3) = 0

Combine like terms: -7x2 + 5x2 = -2x2
(50 + -25x + -2x2 + x3) = 0

Solving
50 + -25x + -2x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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