(X^2-8x+16)(x-4)=0

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Solution for (X^2-8x+16)(x-4)=0 equation: 


Simplifying
(X2 + -8x + 16)(x + -4) = 0

Reorder the terms:
(16 + X2 + -8x)(x + -4) = 0

Reorder the terms:
(16 + X2 + -8x)(-4 + x) = 0

Multiply (16 + X2 + -8x) * (-4 + x)
(16(-4 + x) + X2(-4 + x) + -8x * (-4 + x)) = 0
((-4 * 16 + x * 16) + X2(-4 + x) + -8x * (-4 + x)) = 0
((-64 + 16x) + X2(-4 + x) + -8x * (-4 + x)) = 0
(-64 + 16x + (-4 * X2 + x * X2) + -8x * (-4 + x)) = 0
(-64 + 16x + (-4X2 + xX2) + -8x * (-4 + x)) = 0
(-64 + 16x + -4X2 + xX2 + (-4 * -8x + x * -8x)) = 0
(-64 + 16x + -4X2 + xX2 + (32x + -8x2)) = 0

Reorder the terms:
(-64 + -4X2 + 16x + 32x + xX2 + -8x2) = 0

Combine like terms: 16x + 32x = 48x
(-64 + -4X2 + 48x + xX2 + -8x2) = 0

Solving
-64 + -4X2 + 48x + xX2 + -8x2 = 0

Solving for variable 'X'.

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

Add '64' to each side of the equation.
-64 + -4X2 + 48x + xX2 + 64 + -8x2 = 0 + 64

Reorder the terms:
-64 + 64 + -4X2 + 48x + xX2 + -8x2 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + -4X2 + 48x + xX2 + -8x2 = 0 + 64
-4X2 + 48x + xX2 + -8x2 = 0 + 64

Combine like terms: 0 + 64 = 64
-4X2 + 48x + xX2 + -8x2 = 64

Add '-48x' to each side of the equation.
-4X2 + 48x + xX2 + -48x + -8x2 = 64 + -48x

Reorder the terms:
-4X2 + 48x + -48x + xX2 + -8x2 = 64 + -48x

Combine like terms: 48x + -48x = 0
-4X2 + 0 + xX2 + -8x2 = 64 + -48x
-4X2 + xX2 + -8x2 = 64 + -48x

Add '8x2' to each side of the equation.
-4X2 + xX2 + -8x2 + 8x2 = 64 + -48x + 8x2

Combine like terms: -8x2 + 8x2 = 0
-4X2 + xX2 + 0 = 64 + -48x + 8x2
-4X2 + xX2 = 64 + -48x + 8x2

Reorder the terms:
-64 + -4X2 + 48x + xX2 + -8x2 = 64 + -48x + 8x2 + -64 + 48x + -8x2

Reorder the terms:
-64 + -4X2 + 48x + xX2 + -8x2 = 64 + -64 + -48x + 48x + 8x2 + -8x2

Combine like terms: 64 + -64 = 0
-64 + -4X2 + 48x + xX2 + -8x2 = 0 + -48x + 48x + 8x2 + -8x2
-64 + -4X2 + 48x + xX2 + -8x2 = -48x + 48x + 8x2 + -8x2

Combine like terms: -48x + 48x = 0
-64 + -4X2 + 48x + xX2 + -8x2 = 0 + 8x2 + -8x2
-64 + -4X2 + 48x + xX2 + -8x2 = 8x2 + -8x2

Combine like terms: 8x2 + -8x2 = 0
-64 + -4X2 + 48x + xX2 + -8x2 = 0

The solution to this equation could not be determined.

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