(2x-1)(X^2+3)(2x^2-5)=0

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Solution for (2x-1)(X^2+3)(2x^2-5)=0 equation: 


Simplifying
(2x + -1)(X2 + 3)(2x2 + -5) = 0

Reorder the terms:
(-1 + 2x)(X2 + 3)(2x2 + -5) = 0

Reorder the terms:
(-1 + 2x)(3 + X2)(2x2 + -5) = 0

Reorder the terms:
(-1 + 2x)(3 + X2)(-5 + 2x2) = 0

Multiply (-1 + 2x) * (3 + X2)
(-1(3 + X2) + 2x * (3 + X2))(-5 + 2x2) = 0
((3 * -1 + X2 * -1) + 2x * (3 + X2))(-5 + 2x2) = 0
((-3 + -1X2) + 2x * (3 + X2))(-5 + 2x2) = 0
(-3 + -1X2 + (3 * 2x + X2 * 2x))(-5 + 2x2) = 0
(-3 + -1X2 + (6x + 2xX2))(-5 + 2x2) = 0
(-3 + -1X2 + 6x + 2xX2)(-5 + 2x2) = 0

Multiply (-3 + -1X2 + 6x + 2xX2) * (-5 + 2x2)
(-3(-5 + 2x2) + -1X2 * (-5 + 2x2) + 6x * (-5 + 2x2) + 2xX2 * (-5 + 2x2)) = 0
((-5 * -3 + 2x2 * -3) + -1X2 * (-5 + 2x2) + 6x * (-5 + 2x2) + 2xX2 * (-5 + 2x2)) = 0
((15 + -6x2) + -1X2 * (-5 + 2x2) + 6x * (-5 + 2x2) + 2xX2 * (-5 + 2x2)) = 0
(15 + -6x2 + (-5 * -1X2 + 2x2 * -1X2) + 6x * (-5 + 2x2) + 2xX2 * (-5 + 2x2)) = 0
(15 + -6x2 + (5X2 + -2x2X2) + 6x * (-5 + 2x2) + 2xX2 * (-5 + 2x2)) = 0
(15 + -6x2 + 5X2 + -2x2X2 + (-5 * 6x + 2x2 * 6x) + 2xX2 * (-5 + 2x2)) = 0
(15 + -6x2 + 5X2 + -2x2X2 + (-30x + 12x3) + 2xX2 * (-5 + 2x2)) = 0
(15 + -6x2 + 5X2 + -2x2X2 + -30x + 12x3 + (-5 * 2xX2 + 2x2 * 2xX2)) = 0
(15 + -6x2 + 5X2 + -2x2X2 + -30x + 12x3 + (-10xX2 + 4x3X2)) = 0

Reorder the terms:
(15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2) = 0
(15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2) = 0

Solving
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0

Solving for variable 'X'.

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

Add '-15' to each side of the equation.
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + -15 + 4x3X2 = 0 + -15

Reorder the terms:
15 + -15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + -15
5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + -15

Combine like terms: 0 + -15 = -15
5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15

Add '30x' to each side of the equation.
5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 30x + 4x3X2 = -15 + 30x

Reorder the terms:
5X2 + -30x + 30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x

Combine like terms: -30x + 30x = 0
5X2 + 0 + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x
5X2 + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x

Add '6x2' to each side of the equation.
5X2 + -10xX2 + -6x2 + -2x2X2 + 12x3 + 6x2 + 4x3X2 = -15 + 30x + 6x2

Reorder the terms:
5X2 + -10xX2 + -6x2 + 6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x + 6x2

Combine like terms: -6x2 + 6x2 = 0
5X2 + -10xX2 + 0 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x + 6x2
5X2 + -10xX2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x + 6x2

Add '-12x3' to each side of the equation.
5X2 + -10xX2 + -2x2X2 + 12x3 + -12x3 + 4x3X2 = -15 + 30x + 6x2 + -12x3

Combine like terms: 12x3 + -12x3 = 0
5X2 + -10xX2 + -2x2X2 + 0 + 4x3X2 = -15 + 30x + 6x2 + -12x3
5X2 + -10xX2 + -2x2X2 + 4x3X2 = -15 + 30x + 6x2 + -12x3

Reorder the terms:
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 30x + 6x2 + -12x3 + 15 + -30x + -6x2 + 12x3

Reorder the terms:
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -15 + 15 + 30x + -30x + 6x2 + -6x2 + -12x3 + 12x3

Combine like terms: -15 + 15 = 0
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + 30x + -30x + 6x2 + -6x2 + -12x3 + 12x3
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 30x + -30x + 6x2 + -6x2 + -12x3 + 12x3

Combine like terms: 30x + -30x = 0
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + 6x2 + -6x2 + -12x3 + 12x3
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 6x2 + -6x2 + -12x3 + 12x3

Combine like terms: 6x2 + -6x2 = 0
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0 + -12x3 + 12x3
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = -12x3 + 12x3

Combine like terms: -12x3 + 12x3 = 0
15 + 5X2 + -30x + -10xX2 + -6x2 + -2x2X2 + 12x3 + 4x3X2 = 0

The solution to this equation could not be determined.

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