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

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


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

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

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

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

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

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

Multiply (-1 + 1X + -1x + xX) * (3 + 4x)
(-1(3 + 4x) + 1X * (3 + 4x) + -1x * (3 + 4x) + xX(3 + 4x)) = 0
((3 * -1 + 4x * -1) + 1X * (3 + 4x) + -1x * (3 + 4x) + xX(3 + 4x)) = 0
((-3 + -4x) + 1X * (3 + 4x) + -1x * (3 + 4x) + xX(3 + 4x)) = 0
(-3 + -4x + (3 * 1X + 4x * 1X) + -1x * (3 + 4x) + xX(3 + 4x)) = 0
(-3 + -4x + (3X + 4xX) + -1x * (3 + 4x) + xX(3 + 4x)) = 0
(-3 + -4x + 3X + 4xX + (3 * -1x + 4x * -1x) + xX(3 + 4x)) = 0
(-3 + -4x + 3X + 4xX + (-3x + -4x2) + xX(3 + 4x)) = 0
(-3 + -4x + 3X + 4xX + -3x + -4x2 + (3 * xX + 4x * xX)) = 0
(-3 + -4x + 3X + 4xX + -3x + -4x2 + (3xX + 4x2X)) = 0

Reorder the terms:
(-3 + 3X + -4x + -3x + 4xX + 3xX + -4x2 + 4x2X) = 0

Combine like terms: -4x + -3x = -7x
(-3 + 3X + -7x + 4xX + 3xX + -4x2 + 4x2X) = 0

Combine like terms: 4xX + 3xX = 7xX
(-3 + 3X + -7x + 7xX + -4x2 + 4x2X) = 0

Solving
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 0

Solving for variable 'X'.

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

Add '3' to each side of the equation.
-3 + 3X + -7x + 7xX + -4x2 + 3 + 4x2X = 0 + 3

Reorder the terms:
-3 + 3 + 3X + -7x + 7xX + -4x2 + 4x2X = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3X + -7x + 7xX + -4x2 + 4x2X = 0 + 3
3X + -7x + 7xX + -4x2 + 4x2X = 0 + 3

Combine like terms: 0 + 3 = 3
3X + -7x + 7xX + -4x2 + 4x2X = 3

Add '7x' to each side of the equation.
3X + -7x + 7xX + -4x2 + 7x + 4x2X = 3 + 7x

Reorder the terms:
3X + -7x + 7x + 7xX + -4x2 + 4x2X = 3 + 7x

Combine like terms: -7x + 7x = 0
3X + 0 + 7xX + -4x2 + 4x2X = 3 + 7x
3X + 7xX + -4x2 + 4x2X = 3 + 7x

Add '4x2' to each side of the equation.
3X + 7xX + -4x2 + 4x2 + 4x2X = 3 + 7x + 4x2

Combine like terms: -4x2 + 4x2 = 0
3X + 7xX + 0 + 4x2X = 3 + 7x + 4x2
3X + 7xX + 4x2X = 3 + 7x + 4x2

Reorder the terms:
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 3 + 7x + 4x2 + -3 + -7x + -4x2

Reorder the terms:
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 3 + -3 + 7x + -7x + 4x2 + -4x2

Combine like terms: 3 + -3 = 0
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 0 + 7x + -7x + 4x2 + -4x2
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 7x + -7x + 4x2 + -4x2

Combine like terms: 7x + -7x = 0
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 0 + 4x2 + -4x2
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 4x2 + -4x2

Combine like terms: 4x2 + -4x2 = 0
-3 + 3X + -7x + 7xX + -4x2 + 4x2X = 0

The solution to this equation could not be determined.

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