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

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


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

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

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

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

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

Reorder the terms:
(-10 + -5X + 2x + xX)(-2 + 3x) = 0
(-10 + -5X + 2x + xX)(-2 + 3x) = 0

Multiply (-10 + -5X + 2x + xX) * (-2 + 3x)
(-10(-2 + 3x) + -5X * (-2 + 3x) + 2x * (-2 + 3x) + xX(-2 + 3x)) = 0
((-2 * -10 + 3x * -10) + -5X * (-2 + 3x) + 2x * (-2 + 3x) + xX(-2 + 3x)) = 0
((20 + -30x) + -5X * (-2 + 3x) + 2x * (-2 + 3x) + xX(-2 + 3x)) = 0
(20 + -30x + (-2 * -5X + 3x * -5X) + 2x * (-2 + 3x) + xX(-2 + 3x)) = 0
(20 + -30x + (10X + -15xX) + 2x * (-2 + 3x) + xX(-2 + 3x)) = 0
(20 + -30x + 10X + -15xX + (-2 * 2x + 3x * 2x) + xX(-2 + 3x)) = 0
(20 + -30x + 10X + -15xX + (-4x + 6x2) + xX(-2 + 3x)) = 0
(20 + -30x + 10X + -15xX + -4x + 6x2 + (-2 * xX + 3x * xX)) = 0
(20 + -30x + 10X + -15xX + -4x + 6x2 + (-2xX + 3x2X)) = 0

Reorder the terms:
(20 + 10X + -30x + -4x + -15xX + -2xX + 6x2 + 3x2X) = 0

Combine like terms: -30x + -4x = -34x
(20 + 10X + -34x + -15xX + -2xX + 6x2 + 3x2X) = 0

Combine like terms: -15xX + -2xX = -17xX
(20 + 10X + -34x + -17xX + 6x2 + 3x2X) = 0

Solving
20 + 10X + -34x + -17xX + 6x2 + 3x2X = 0

Solving for variable 'X'.

Move all terms containing X to the left, all other terms to the right.

Add '-20' to each side of the equation.
20 + 10X + -34x + -17xX + 6x2 + -20 + 3x2X = 0 + -20

Reorder the terms:
20 + -20 + 10X + -34x + -17xX + 6x2 + 3x2X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 10X + -34x + -17xX + 6x2 + 3x2X = 0 + -20
10X + -34x + -17xX + 6x2 + 3x2X = 0 + -20

Combine like terms: 0 + -20 = -20
10X + -34x + -17xX + 6x2 + 3x2X = -20

Add '34x' to each side of the equation.
10X + -34x + -17xX + 6x2 + 34x + 3x2X = -20 + 34x

Reorder the terms:
10X + -34x + 34x + -17xX + 6x2 + 3x2X = -20 + 34x

Combine like terms: -34x + 34x = 0
10X + 0 + -17xX + 6x2 + 3x2X = -20 + 34x
10X + -17xX + 6x2 + 3x2X = -20 + 34x

Add '-6x2' to each side of the equation.
10X + -17xX + 6x2 + -6x2 + 3x2X = -20 + 34x + -6x2

Combine like terms: 6x2 + -6x2 = 0
10X + -17xX + 0 + 3x2X = -20 + 34x + -6x2
10X + -17xX + 3x2X = -20 + 34x + -6x2

Reorder the terms:
20 + 10X + -34x + -17xX + 6x2 + 3x2X = -20 + 34x + -6x2 + 20 + -34x + 6x2

Reorder the terms:
20 + 10X + -34x + -17xX + 6x2 + 3x2X = -20 + 20 + 34x + -34x + -6x2 + 6x2

Combine like terms: -20 + 20 = 0
20 + 10X + -34x + -17xX + 6x2 + 3x2X = 0 + 34x + -34x + -6x2 + 6x2
20 + 10X + -34x + -17xX + 6x2 + 3x2X = 34x + -34x + -6x2 + 6x2

Combine like terms: 34x + -34x = 0
20 + 10X + -34x + -17xX + 6x2 + 3x2X = 0 + -6x2 + 6x2
20 + 10X + -34x + -17xX + 6x2 + 3x2X = -6x2 + 6x2

Combine like terms: -6x2 + 6x2 = 0
20 + 10X + -34x + -17xX + 6x2 + 3x2X = 0

The solution to this equation could not be determined.

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