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

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


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

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

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

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

Multiply (-5 + X) * (5 + x)
(-5(5 + x) + X(5 + x))(-1 + 2x) = 0
((5 * -5 + x * -5) + X(5 + x))(-1 + 2x) = 0
((-25 + -5x) + X(5 + x))(-1 + 2x) = 0
(-25 + -5x + (5 * X + x * X))(-1 + 2x) = 0
(-25 + -5x + (5X + xX))(-1 + 2x) = 0

Reorder the terms:
(-25 + 5X + -5x + xX)(-1 + 2x) = 0
(-25 + 5X + -5x + xX)(-1 + 2x) = 0

Multiply (-25 + 5X + -5x + xX) * (-1 + 2x)
(-25(-1 + 2x) + 5X * (-1 + 2x) + -5x * (-1 + 2x) + xX(-1 + 2x)) = 0
((-1 * -25 + 2x * -25) + 5X * (-1 + 2x) + -5x * (-1 + 2x) + xX(-1 + 2x)) = 0
((25 + -50x) + 5X * (-1 + 2x) + -5x * (-1 + 2x) + xX(-1 + 2x)) = 0
(25 + -50x + (-1 * 5X + 2x * 5X) + -5x * (-1 + 2x) + xX(-1 + 2x)) = 0
(25 + -50x + (-5X + 10xX) + -5x * (-1 + 2x) + xX(-1 + 2x)) = 0
(25 + -50x + -5X + 10xX + (-1 * -5x + 2x * -5x) + xX(-1 + 2x)) = 0
(25 + -50x + -5X + 10xX + (5x + -10x2) + xX(-1 + 2x)) = 0
(25 + -50x + -5X + 10xX + 5x + -10x2 + (-1 * xX + 2x * xX)) = 0
(25 + -50x + -5X + 10xX + 5x + -10x2 + (-1xX + 2x2X)) = 0

Reorder the terms:
(25 + -5X + -50x + 5x + 10xX + -1xX + -10x2 + 2x2X) = 0

Combine like terms: -50x + 5x = -45x
(25 + -5X + -45x + 10xX + -1xX + -10x2 + 2x2X) = 0

Combine like terms: 10xX + -1xX = 9xX
(25 + -5X + -45x + 9xX + -10x2 + 2x2X) = 0

Solving
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 0

Solving for variable 'X'.

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

Add '-25' to each side of the equation.
25 + -5X + -45x + 9xX + -10x2 + -25 + 2x2X = 0 + -25

Reorder the terms:
25 + -25 + -5X + -45x + 9xX + -10x2 + 2x2X = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -5X + -45x + 9xX + -10x2 + 2x2X = 0 + -25
-5X + -45x + 9xX + -10x2 + 2x2X = 0 + -25

Combine like terms: 0 + -25 = -25
-5X + -45x + 9xX + -10x2 + 2x2X = -25

Add '45x' to each side of the equation.
-5X + -45x + 9xX + -10x2 + 45x + 2x2X = -25 + 45x

Reorder the terms:
-5X + -45x + 45x + 9xX + -10x2 + 2x2X = -25 + 45x

Combine like terms: -45x + 45x = 0
-5X + 0 + 9xX + -10x2 + 2x2X = -25 + 45x
-5X + 9xX + -10x2 + 2x2X = -25 + 45x

Add '10x2' to each side of the equation.
-5X + 9xX + -10x2 + 10x2 + 2x2X = -25 + 45x + 10x2

Combine like terms: -10x2 + 10x2 = 0
-5X + 9xX + 0 + 2x2X = -25 + 45x + 10x2
-5X + 9xX + 2x2X = -25 + 45x + 10x2

Reorder the terms:
25 + -5X + -45x + 9xX + -10x2 + 2x2X = -25 + 45x + 10x2 + 25 + -45x + -10x2

Reorder the terms:
25 + -5X + -45x + 9xX + -10x2 + 2x2X = -25 + 25 + 45x + -45x + 10x2 + -10x2

Combine like terms: -25 + 25 = 0
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 0 + 45x + -45x + 10x2 + -10x2
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 45x + -45x + 10x2 + -10x2

Combine like terms: 45x + -45x = 0
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 0 + 10x2 + -10x2
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 10x2 + -10x2

Combine like terms: 10x2 + -10x2 = 0
25 + -5X + -45x + 9xX + -10x2 + 2x2X = 0

The solution to this equation could not be determined.

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