(x-5)(x+2)(x-3)=0

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Solution for (x-5)(x+2)(x-3)=0 equation:


Simplifying
(x + -5)(x + 2)(x + -3) = 0

Reorder the terms:
(-5 + x)(x + 2)(x + -3) = 0

Reorder the terms:
(-5 + x)(2 + x)(x + -3) = 0

Reorder the terms:
(-5 + x)(2 + x)(-3 + x) = 0

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

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

Multiply (-10 + -3x + x2) * (-3 + x)
(-10(-3 + x) + -3x * (-3 + x) + x2(-3 + x)) = 0
((-3 * -10 + x * -10) + -3x * (-3 + x) + x2(-3 + x)) = 0
((30 + -10x) + -3x * (-3 + x) + x2(-3 + x)) = 0
(30 + -10x + (-3 * -3x + x * -3x) + x2(-3 + x)) = 0
(30 + -10x + (9x + -3x2) + x2(-3 + x)) = 0
(30 + -10x + 9x + -3x2 + (-3 * x2 + x * x2)) = 0
(30 + -10x + 9x + -3x2 + (-3x2 + x3)) = 0

Combine like terms: -10x + 9x = -1x
(30 + -1x + -3x2 + -3x2 + x3) = 0

Combine like terms: -3x2 + -3x2 = -6x2
(30 + -1x + -6x2 + x3) = 0

Solving
30 + -1x + -6x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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