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

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


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

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

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

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

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

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

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

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

Combine like terms: -125x + -15x = -140x
(75 + 15X + -140x + -25xX + -3xX + 25x2 + 5x2X) = 0

Combine like terms: -25xX + -3xX = -28xX
(75 + 15X + -140x + -28xX + 25x2 + 5x2X) = 0

Solving
75 + 15X + -140x + -28xX + 25x2 + 5x2X = 0

Solving for variable 'X'.

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

Add '-75' to each side of the equation.
75 + 15X + -140x + -28xX + 25x2 + -75 + 5x2X = 0 + -75

Reorder the terms:
75 + -75 + 15X + -140x + -28xX + 25x2 + 5x2X = 0 + -75

Combine like terms: 75 + -75 = 0
0 + 15X + -140x + -28xX + 25x2 + 5x2X = 0 + -75
15X + -140x + -28xX + 25x2 + 5x2X = 0 + -75

Combine like terms: 0 + -75 = -75
15X + -140x + -28xX + 25x2 + 5x2X = -75

Add '140x' to each side of the equation.
15X + -140x + -28xX + 25x2 + 140x + 5x2X = -75 + 140x

Reorder the terms:
15X + -140x + 140x + -28xX + 25x2 + 5x2X = -75 + 140x

Combine like terms: -140x + 140x = 0
15X + 0 + -28xX + 25x2 + 5x2X = -75 + 140x
15X + -28xX + 25x2 + 5x2X = -75 + 140x

Add '-25x2' to each side of the equation.
15X + -28xX + 25x2 + -25x2 + 5x2X = -75 + 140x + -25x2

Combine like terms: 25x2 + -25x2 = 0
15X + -28xX + 0 + 5x2X = -75 + 140x + -25x2
15X + -28xX + 5x2X = -75 + 140x + -25x2

Reorder the terms:
75 + 15X + -140x + -28xX + 25x2 + 5x2X = -75 + 140x + -25x2 + 75 + -140x + 25x2

Reorder the terms:
75 + 15X + -140x + -28xX + 25x2 + 5x2X = -75 + 75 + 140x + -140x + -25x2 + 25x2

Combine like terms: -75 + 75 = 0
75 + 15X + -140x + -28xX + 25x2 + 5x2X = 0 + 140x + -140x + -25x2 + 25x2
75 + 15X + -140x + -28xX + 25x2 + 5x2X = 140x + -140x + -25x2 + 25x2

Combine like terms: 140x + -140x = 0
75 + 15X + -140x + -28xX + 25x2 + 5x2X = 0 + -25x2 + 25x2
75 + 15X + -140x + -28xX + 25x2 + 5x2X = -25x2 + 25x2

Combine like terms: -25x2 + 25x2 = 0
75 + 15X + -140x + -28xX + 25x2 + 5x2X = 0

The solution to this equation could not be determined.

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