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

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


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

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

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

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

Multiply (2 + x) * (3 + x)
(2(3 + x) + x(3 + x))(-5 + x) = 0
((3 * 2 + x * 2) + x(3 + x))(-5 + x) = 0
((6 + 2x) + x(3 + x))(-5 + x) = 0
(6 + 2x + (3 * x + x * x))(-5 + x) = 0
(6 + 2x + (3x + x2))(-5 + x) = 0

Combine like terms: 2x + 3x = 5x
(6 + 5x + x2)(-5 + x) = 0

Multiply (6 + 5x + x2) * (-5 + x)
(6(-5 + x) + 5x * (-5 + x) + x2(-5 + x)) = 0
((-5 * 6 + x * 6) + 5x * (-5 + x) + x2(-5 + x)) = 0
((-30 + 6x) + 5x * (-5 + x) + x2(-5 + x)) = 0
(-30 + 6x + (-5 * 5x + x * 5x) + x2(-5 + x)) = 0
(-30 + 6x + (-25x + 5x2) + x2(-5 + x)) = 0
(-30 + 6x + -25x + 5x2 + (-5 * x2 + x * x2)) = 0
(-30 + 6x + -25x + 5x2 + (-5x2 + x3)) = 0

Combine like terms: 6x + -25x = -19x
(-30 + -19x + 5x2 + -5x2 + x3) = 0

Combine like terms: 5x2 + -5x2 = 0
(-30 + -19x + 0 + x3) = 0
(-30 + -19x + x3) = 0

Solving
-30 + -19x + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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