(X-5)(x^2+3x-4)=0

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Solution for (X-5)(x^2+3x-4)=0 equation: 


Simplifying
(X + -5)(x2 + 3x + -4) = 0

Reorder the terms:
(-5 + X)(x2 + 3x + -4) = 0

Reorder the terms:
(-5 + X)(-4 + 3x + x2) = 0

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

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

Solving
20 + -4X + -15x + 3xX + -5x2 + x2X = 0

Solving for variable 'X'.

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

Add '-20' to each side of the equation.
20 + -4X + -15x + 3xX + -5x2 + -20 + x2X = 0 + -20

Reorder the terms:
20 + -20 + -4X + -15x + 3xX + -5x2 + x2X = 0 + -20

Combine like terms: 20 + -20 = 0
0 + -4X + -15x + 3xX + -5x2 + x2X = 0 + -20
-4X + -15x + 3xX + -5x2 + x2X = 0 + -20

Combine like terms: 0 + -20 = -20
-4X + -15x + 3xX + -5x2 + x2X = -20

Add '15x' to each side of the equation.
-4X + -15x + 3xX + -5x2 + 15x + x2X = -20 + 15x

Reorder the terms:
-4X + -15x + 15x + 3xX + -5x2 + x2X = -20 + 15x

Combine like terms: -15x + 15x = 0
-4X + 0 + 3xX + -5x2 + x2X = -20 + 15x
-4X + 3xX + -5x2 + x2X = -20 + 15x

Add '5x2' to each side of the equation.
-4X + 3xX + -5x2 + 5x2 + x2X = -20 + 15x + 5x2

Combine like terms: -5x2 + 5x2 = 0
-4X + 3xX + 0 + x2X = -20 + 15x + 5x2
-4X + 3xX + x2X = -20 + 15x + 5x2

Reorder the terms:
20 + -4X + -15x + 3xX + -5x2 + x2X = -20 + 15x + 5x2 + 20 + -15x + -5x2

Reorder the terms:
20 + -4X + -15x + 3xX + -5x2 + x2X = -20 + 20 + 15x + -15x + 5x2 + -5x2

Combine like terms: -20 + 20 = 0
20 + -4X + -15x + 3xX + -5x2 + x2X = 0 + 15x + -15x + 5x2 + -5x2
20 + -4X + -15x + 3xX + -5x2 + x2X = 15x + -15x + 5x2 + -5x2

Combine like terms: 15x + -15x = 0
20 + -4X + -15x + 3xX + -5x2 + x2X = 0 + 5x2 + -5x2
20 + -4X + -15x + 3xX + -5x2 + x2X = 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
20 + -4X + -15x + 3xX + -5x2 + x2X = 0

The solution to this equation could not be determined.

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