(X-5)(x+3)(1-4x)=0

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Solution for (X-5)(x+3)(1-4x)=0 equation: 


Simplifying
(X + -5)(x + 3)(1 + -4x) = 0

Reorder the terms:
(-5 + X)(x + 3)(1 + -4x) = 0

Reorder the terms:
(-5 + X)(3 + x)(1 + -4x) = 0

Multiply (-5 + X) * (3 + x)
(-5(3 + x) + X(3 + x))(1 + -4x) = 0
((3 * -5 + x * -5) + X(3 + x))(1 + -4x) = 0
((-15 + -5x) + X(3 + x))(1 + -4x) = 0
(-15 + -5x + (3 * X + x * X))(1 + -4x) = 0
(-15 + -5x + (3X + xX))(1 + -4x) = 0

Reorder the terms:
(-15 + 3X + -5x + xX)(1 + -4x) = 0
(-15 + 3X + -5x + xX)(1 + -4x) = 0

Multiply (-15 + 3X + -5x + xX) * (1 + -4x)
(-15(1 + -4x) + 3X * (1 + -4x) + -5x * (1 + -4x) + xX(1 + -4x)) = 0
((1 * -15 + -4x * -15) + 3X * (1 + -4x) + -5x * (1 + -4x) + xX(1 + -4x)) = 0
((-15 + 60x) + 3X * (1 + -4x) + -5x * (1 + -4x) + xX(1 + -4x)) = 0
(-15 + 60x + (1 * 3X + -4x * 3X) + -5x * (1 + -4x) + xX(1 + -4x)) = 0
(-15 + 60x + (3X + -12xX) + -5x * (1 + -4x) + xX(1 + -4x)) = 0
(-15 + 60x + 3X + -12xX + (1 * -5x + -4x * -5x) + xX(1 + -4x)) = 0
(-15 + 60x + 3X + -12xX + (-5x + 20x2) + xX(1 + -4x)) = 0
(-15 + 60x + 3X + -12xX + -5x + 20x2 + (1 * xX + -4x * xX)) = 0
(-15 + 60x + 3X + -12xX + -5x + 20x2 + (1xX + -4x2X)) = 0

Reorder the terms:
(-15 + 3X + 60x + -5x + -12xX + 1xX + 20x2 + -4x2X) = 0

Combine like terms: 60x + -5x = 55x
(-15 + 3X + 55x + -12xX + 1xX + 20x2 + -4x2X) = 0

Combine like terms: -12xX + 1xX = -11xX
(-15 + 3X + 55x + -11xX + 20x2 + -4x2X) = 0

Solving
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 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 + 3X + 55x + -11xX + 20x2 + 15 + -4x2X = 0 + 15

Reorder the terms:
-15 + 15 + 3X + 55x + -11xX + 20x2 + -4x2X = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 3X + 55x + -11xX + 20x2 + -4x2X = 0 + 15
3X + 55x + -11xX + 20x2 + -4x2X = 0 + 15

Combine like terms: 0 + 15 = 15
3X + 55x + -11xX + 20x2 + -4x2X = 15

Add '-55x' to each side of the equation.
3X + 55x + -11xX + 20x2 + -55x + -4x2X = 15 + -55x

Reorder the terms:
3X + 55x + -55x + -11xX + 20x2 + -4x2X = 15 + -55x

Combine like terms: 55x + -55x = 0
3X + 0 + -11xX + 20x2 + -4x2X = 15 + -55x
3X + -11xX + 20x2 + -4x2X = 15 + -55x

Add '-20x2' to each side of the equation.
3X + -11xX + 20x2 + -20x2 + -4x2X = 15 + -55x + -20x2

Combine like terms: 20x2 + -20x2 = 0
3X + -11xX + 0 + -4x2X = 15 + -55x + -20x2
3X + -11xX + -4x2X = 15 + -55x + -20x2

Reorder the terms:
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 15 + -55x + -20x2 + -15 + 55x + 20x2

Reorder the terms:
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 15 + -15 + -55x + 55x + -20x2 + 20x2

Combine like terms: 15 + -15 = 0
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 0 + -55x + 55x + -20x2 + 20x2
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = -55x + 55x + -20x2 + 20x2

Combine like terms: -55x + 55x = 0
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 0 + -20x2 + 20x2
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = -20x2 + 20x2

Combine like terms: -20x2 + 20x2 = 0
-15 + 3X + 55x + -11xX + 20x2 + -4x2X = 0

The solution to this equation could not be determined.

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