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

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


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

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

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

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

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

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

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

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

Combine like terms: -20x + 15x = -5x
(30 + -6X + -5x + 4xX + -3xX + -10x2 + 2x2X) = 0

Combine like terms: 4xX + -3xX = 1xX
(30 + -6X + -5x + 1xX + -10x2 + 2x2X) = 0

Solving
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-30' to each side of the equation.
30 + -6X + -5x + 1xX + -10x2 + -30 + 2x2X = 0 + -30

Reorder the terms:
30 + -30 + -6X + -5x + 1xX + -10x2 + 2x2X = 0 + -30

Combine like terms: 30 + -30 = 0
0 + -6X + -5x + 1xX + -10x2 + 2x2X = 0 + -30
-6X + -5x + 1xX + -10x2 + 2x2X = 0 + -30

Combine like terms: 0 + -30 = -30
-6X + -5x + 1xX + -10x2 + 2x2X = -30

Add '5x' to each side of the equation.
-6X + -5x + 1xX + -10x2 + 5x + 2x2X = -30 + 5x

Reorder the terms:
-6X + -5x + 5x + 1xX + -10x2 + 2x2X = -30 + 5x

Combine like terms: -5x + 5x = 0
-6X + 0 + 1xX + -10x2 + 2x2X = -30 + 5x
-6X + 1xX + -10x2 + 2x2X = -30 + 5x

Add '10x2' to each side of the equation.
-6X + 1xX + -10x2 + 10x2 + 2x2X = -30 + 5x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-6X + 1xX + 0 + 2x2X = -30 + 5x + 10x2
-6X + 1xX + 2x2X = -30 + 5x + 10x2

Reorder the terms:
30 + -6X + -5x + 1xX + -10x2 + 2x2X = -30 + 5x + 10x2 + 30 + -5x + -10x2

Reorder the terms:
30 + -6X + -5x + 1xX + -10x2 + 2x2X = -30 + 30 + 5x + -5x + 10x2 + -10x2

Combine like terms: -30 + 30 = 0
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 0 + 5x + -5x + 10x2 + -10x2
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 5x + -5x + 10x2 + -10x2

Combine like terms: 5x + -5x = 0
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 0 + 10x2 + -10x2
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
30 + -6X + -5x + 1xX + -10x2 + 2x2X = 0

The solution to this equation could not be determined.

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