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

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


Simplifying
(X2 + x + 4)(x + -4) = 0

Reorder the terms:
(4 + X2 + x)(x + -4) = 0

Reorder the terms:
(4 + X2 + x)(-4 + x) = 0

Multiply (4 + X2 + x) * (-4 + x)
(4(-4 + x) + X2(-4 + x) + x(-4 + x)) = 0
((-4 * 4 + x * 4) + X2(-4 + x) + x(-4 + x)) = 0
((-16 + 4x) + X2(-4 + x) + x(-4 + x)) = 0
(-16 + 4x + (-4 * X2 + x * X2) + x(-4 + x)) = 0
(-16 + 4x + (-4X2 + xX2) + x(-4 + x)) = 0
(-16 + 4x + -4X2 + xX2 + (-4 * x + x * x)) = 0
(-16 + 4x + -4X2 + xX2 + (-4x + x2)) = 0

Reorder the terms:
(-16 + -4X2 + 4x + -4x + xX2 + x2) = 0

Combine like terms: 4x + -4x = 0
(-16 + -4X2 + 0 + xX2 + x2) = 0
(-16 + -4X2 + xX2 + x2) = 0

Solving
-16 + -4X2 + xX2 + x2 = 0

Solving for variable 'X'.

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

Add '16' to each side of the equation.
-16 + -4X2 + xX2 + 16 + x2 = 0 + 16

Reorder the terms:
-16 + 16 + -4X2 + xX2 + x2 = 0 + 16

Combine like terms: -16 + 16 = 0
0 + -4X2 + xX2 + x2 = 0 + 16
-4X2 + xX2 + x2 = 0 + 16

Combine like terms: 0 + 16 = 16
-4X2 + xX2 + x2 = 16

Add '-1x2' to each side of the equation.
-4X2 + xX2 + x2 + -1x2 = 16 + -1x2

Combine like terms: x2 + -1x2 = 0
-4X2 + xX2 + 0 = 16 + -1x2
-4X2 + xX2 = 16 + -1x2

Reorder the terms:
-16 + -4X2 + xX2 + x2 = 16 + -1x2 + -16 + x2

Reorder the terms:
-16 + -4X2 + xX2 + x2 = 16 + -16 + -1x2 + x2

Combine like terms: 16 + -16 = 0
-16 + -4X2 + xX2 + x2 = 0 + -1x2 + x2
-16 + -4X2 + xX2 + x2 = -1x2 + x2

Combine like terms: -1x2 + x2 = 0
-16 + -4X2 + xX2 + x2 = 0

The solution to this equation could not be determined.

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