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

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


Simplifying
(x + -4)(x2 + 4x + 16) = 0

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

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

Multiply (-4 + x) * (16 + 4x + x2)
(-4(16 + 4x + x2) + x(16 + 4x + x2)) = 0
((16 * -4 + 4x * -4 + x2 * -4) + x(16 + 4x + x2)) = 0
((-64 + -16x + -4x2) + x(16 + 4x + x2)) = 0
(-64 + -16x + -4x2 + (16 * x + 4x * x + x2 * x)) = 0
(-64 + -16x + -4x2 + (16x + 4x2 + x3)) = 0

Reorder the terms:
(-64 + -16x + 16x + -4x2 + 4x2 + x3) = 0

Combine like terms: -16x + 16x = 0
(-64 + 0 + -4x2 + 4x2 + x3) = 0
(-64 + -4x2 + 4x2 + x3) = 0

Combine like terms: -4x2 + 4x2 = 0
(-64 + 0 + x3) = 0
(-64 + x3) = 0

Solving
-64 + x3 = 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 + 64 + x3 = 0 + 64

Combine like terms: -64 + 64 = 0
0 + x3 = 0 + 64
x3 = 0 + 64

Combine like terms: 0 + 64 = 64
x3 = 64

Simplifying
x3 = 64

Reorder the terms:
-64 + x3 = 64 + -64

Combine like terms: 64 + -64 = 0
-64 + x3 = 0

The solution to this equation could not be determined.

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