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

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


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

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

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

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