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

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


Simplifying
(X + -2)(x + 2)(5x + -1) = 0

Reorder the terms:
(-2 + X)(x + 2)(5x + -1) = 0

Reorder the terms:
(-2 + X)(2 + x)(5x + -1) = 0

Reorder the terms:
(-2 + X)(2 + x)(-1 + 5x) = 0

Multiply (-2 + X) * (2 + x)
(-2(2 + x) + X(2 + x))(-1 + 5x) = 0
((2 * -2 + x * -2) + X(2 + x))(-1 + 5x) = 0
((-4 + -2x) + X(2 + x))(-1 + 5x) = 0
(-4 + -2x + (2 * X + x * X))(-1 + 5x) = 0
(-4 + -2x + (2X + xX))(-1 + 5x) = 0

Reorder the terms:
(-4 + 2X + -2x + xX)(-1 + 5x) = 0
(-4 + 2X + -2x + xX)(-1 + 5x) = 0

Multiply (-4 + 2X + -2x + xX) * (-1 + 5x)
(-4(-1 + 5x) + 2X * (-1 + 5x) + -2x * (-1 + 5x) + xX(-1 + 5x)) = 0
((-1 * -4 + 5x * -4) + 2X * (-1 + 5x) + -2x * (-1 + 5x) + xX(-1 + 5x)) = 0
((4 + -20x) + 2X * (-1 + 5x) + -2x * (-1 + 5x) + xX(-1 + 5x)) = 0
(4 + -20x + (-1 * 2X + 5x * 2X) + -2x * (-1 + 5x) + xX(-1 + 5x)) = 0
(4 + -20x + (-2X + 10xX) + -2x * (-1 + 5x) + xX(-1 + 5x)) = 0
(4 + -20x + -2X + 10xX + (-1 * -2x + 5x * -2x) + xX(-1 + 5x)) = 0
(4 + -20x + -2X + 10xX + (2x + -10x2) + xX(-1 + 5x)) = 0
(4 + -20x + -2X + 10xX + 2x + -10x2 + (-1 * xX + 5x * xX)) = 0
(4 + -20x + -2X + 10xX + 2x + -10x2 + (-1xX + 5x2X)) = 0

Reorder the terms:
(4 + -2X + -20x + 2x + 10xX + -1xX + -10x2 + 5x2X) = 0

Combine like terms: -20x + 2x = -18x
(4 + -2X + -18x + 10xX + -1xX + -10x2 + 5x2X) = 0

Combine like terms: 10xX + -1xX = 9xX
(4 + -2X + -18x + 9xX + -10x2 + 5x2X) = 0

Solving
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 0

Solving for variable 'X'.

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

Add '-4' to each side of the equation.
4 + -2X + -18x + 9xX + -10x2 + -4 + 5x2X = 0 + -4

Reorder the terms:
4 + -4 + -2X + -18x + 9xX + -10x2 + 5x2X = 0 + -4

Combine like terms: 4 + -4 = 0
0 + -2X + -18x + 9xX + -10x2 + 5x2X = 0 + -4
-2X + -18x + 9xX + -10x2 + 5x2X = 0 + -4

Combine like terms: 0 + -4 = -4
-2X + -18x + 9xX + -10x2 + 5x2X = -4

Add '18x' to each side of the equation.
-2X + -18x + 9xX + -10x2 + 18x + 5x2X = -4 + 18x

Reorder the terms:
-2X + -18x + 18x + 9xX + -10x2 + 5x2X = -4 + 18x

Combine like terms: -18x + 18x = 0
-2X + 0 + 9xX + -10x2 + 5x2X = -4 + 18x
-2X + 9xX + -10x2 + 5x2X = -4 + 18x

Add '10x2' to each side of the equation.
-2X + 9xX + -10x2 + 10x2 + 5x2X = -4 + 18x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-2X + 9xX + 0 + 5x2X = -4 + 18x + 10x2
-2X + 9xX + 5x2X = -4 + 18x + 10x2

Reorder the terms:
4 + -2X + -18x + 9xX + -10x2 + 5x2X = -4 + 18x + 10x2 + 4 + -18x + -10x2

Reorder the terms:
4 + -2X + -18x + 9xX + -10x2 + 5x2X = -4 + 4 + 18x + -18x + 10x2 + -10x2

Combine like terms: -4 + 4 = 0
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 0 + 18x + -18x + 10x2 + -10x2
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 18x + -18x + 10x2 + -10x2

Combine like terms: 18x + -18x = 0
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 0 + 10x2 + -10x2
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
4 + -2X + -18x + 9xX + -10x2 + 5x2X = 0

The solution to this equation could not be determined.

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