(8x-5x^2)((x^2)-8x+16)=0

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Solution for (8x-5x^2)((x^2)-8x+16)=0 equation: 


Simplifying
(8x + -5x2)((x2) + -8x + 16) = 0
(8x + -5x2)(x2 + -8x + 16) = 0

Reorder the terms:
(8x + -5x2)(16 + -8x + x2) = 0

Multiply (8x + -5x2) * (16 + -8x + x2)
(8x * (16 + -8x + x2) + -5x2 * (16 + -8x + x2)) = 0
((16 * 8x + -8x * 8x + x2 * 8x) + -5x2 * (16 + -8x + x2)) = 0
((128x + -64x2 + 8x3) + -5x2 * (16 + -8x + x2)) = 0
(128x + -64x2 + 8x3 + (16 * -5x2 + -8x * -5x2 + x2 * -5x2)) = 0
(128x + -64x2 + 8x3 + (-80x2 + 40x3 + -5x4)) = 0

Reorder the terms:
(128x + -64x2 + -80x2 + 8x3 + 40x3 + -5x4) = 0

Combine like terms: -64x2 + -80x2 = -144x2
(128x + -144x2 + 8x3 + 40x3 + -5x4) = 0

Combine like terms: 8x3 + 40x3 = 48x3
(128x + -144x2 + 48x3 + -5x4) = 0

Solving
128x + -144x2 + 48x3 + -5x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(128 + -144x + 48x2 + -5x3) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(128 + -144x + 48x2 + -5x3)' equal to zero and attempt to solve:

Simplifying
128 + -144x + 48x2 + -5x3 = 0

Solving
128 + -144x + 48x2 + -5x3 = 0

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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