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

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


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

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

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

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

Multiply (5 + X) * (-5 + x)
(5(-5 + x) + X(-5 + x))(-5 + 3x) = 0
((-5 * 5 + x * 5) + X(-5 + x))(-5 + 3x) = 0
((-25 + 5x) + X(-5 + x))(-5 + 3x) = 0
(-25 + 5x + (-5 * X + x * X))(-5 + 3x) = 0
(-25 + 5x + (-5X + xX))(-5 + 3x) = 0

Reorder the terms:
(-25 + -5X + 5x + xX)(-5 + 3x) = 0
(-25 + -5X + 5x + xX)(-5 + 3x) = 0

Multiply (-25 + -5X + 5x + xX) * (-5 + 3x)
(-25(-5 + 3x) + -5X * (-5 + 3x) + 5x * (-5 + 3x) + xX(-5 + 3x)) = 0
((-5 * -25 + 3x * -25) + -5X * (-5 + 3x) + 5x * (-5 + 3x) + xX(-5 + 3x)) = 0
((125 + -75x) + -5X * (-5 + 3x) + 5x * (-5 + 3x) + xX(-5 + 3x)) = 0
(125 + -75x + (-5 * -5X + 3x * -5X) + 5x * (-5 + 3x) + xX(-5 + 3x)) = 0
(125 + -75x + (25X + -15xX) + 5x * (-5 + 3x) + xX(-5 + 3x)) = 0
(125 + -75x + 25X + -15xX + (-5 * 5x + 3x * 5x) + xX(-5 + 3x)) = 0
(125 + -75x + 25X + -15xX + (-25x + 15x2) + xX(-5 + 3x)) = 0
(125 + -75x + 25X + -15xX + -25x + 15x2 + (-5 * xX + 3x * xX)) = 0
(125 + -75x + 25X + -15xX + -25x + 15x2 + (-5xX + 3x2X)) = 0

Reorder the terms:
(125 + 25X + -75x + -25x + -15xX + -5xX + 15x2 + 3x2X) = 0

Combine like terms: -75x + -25x = -100x
(125 + 25X + -100x + -15xX + -5xX + 15x2 + 3x2X) = 0

Combine like terms: -15xX + -5xX = -20xX
(125 + 25X + -100x + -20xX + 15x2 + 3x2X) = 0

Solving
125 + 25X + -100x + -20xX + 15x2 + 3x2X = 0

Solving for variable 'X'.

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

Add '-125' to each side of the equation.
125 + 25X + -100x + -20xX + 15x2 + -125 + 3x2X = 0 + -125

Reorder the terms:
125 + -125 + 25X + -100x + -20xX + 15x2 + 3x2X = 0 + -125

Combine like terms: 125 + -125 = 0
0 + 25X + -100x + -20xX + 15x2 + 3x2X = 0 + -125
25X + -100x + -20xX + 15x2 + 3x2X = 0 + -125

Combine like terms: 0 + -125 = -125
25X + -100x + -20xX + 15x2 + 3x2X = -125

Add '100x' to each side of the equation.
25X + -100x + -20xX + 15x2 + 100x + 3x2X = -125 + 100x

Reorder the terms:
25X + -100x + 100x + -20xX + 15x2 + 3x2X = -125 + 100x

Combine like terms: -100x + 100x = 0
25X + 0 + -20xX + 15x2 + 3x2X = -125 + 100x
25X + -20xX + 15x2 + 3x2X = -125 + 100x

Add '-15x2' to each side of the equation.
25X + -20xX + 15x2 + -15x2 + 3x2X = -125 + 100x + -15x2

Combine like terms: 15x2 + -15x2 = 0
25X + -20xX + 0 + 3x2X = -125 + 100x + -15x2
25X + -20xX + 3x2X = -125 + 100x + -15x2

Reorder the terms:
125 + 25X + -100x + -20xX + 15x2 + 3x2X = -125 + 100x + -15x2 + 125 + -100x + 15x2

Reorder the terms:
125 + 25X + -100x + -20xX + 15x2 + 3x2X = -125 + 125 + 100x + -100x + -15x2 + 15x2

Combine like terms: -125 + 125 = 0
125 + 25X + -100x + -20xX + 15x2 + 3x2X = 0 + 100x + -100x + -15x2 + 15x2
125 + 25X + -100x + -20xX + 15x2 + 3x2X = 100x + -100x + -15x2 + 15x2

Combine like terms: 100x + -100x = 0
125 + 25X + -100x + -20xX + 15x2 + 3x2X = 0 + -15x2 + 15x2
125 + 25X + -100x + -20xX + 15x2 + 3x2X = -15x2 + 15x2

Combine like terms: -15x2 + 15x2 = 0
125 + 25X + -100x + -20xX + 15x2 + 3x2X = 0

The solution to this equation could not be determined.

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