8x^4-40x^3+64x^2=

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Solution for 8x^4-40x^3+64x^2= equation: 


Simplifying
8x4 + -40x3 + 64x2 = 0

Reorder the terms:
64x2 + -40x3 + 8x4 = 0

Solving
64x2 + -40x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '8x2'.
8x2(8 + -5x + x2) = 0

Ignore the factor 8.

Subproblem 1
Set the factor 'x2' equal to zero and attempt to solve:

Simplifying
x2 = 0

Solving
x2 = 0

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

Simplifying
x2 = 0

Take the square root of each side:
x = {0}

Subproblem 2
Set the factor '(8 + -5x + x2)' equal to zero and attempt to solve:

Simplifying
8 + -5x + x2 = 0

Solving
8 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-8' to each side of the equation.
8 + -5x + -8 + x2 = 0 + -8

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

Combine like terms: 8 + -8 = 0
0 + -5x + x2 = 0 + -8
-5x + x2 = 0 + -8

Combine like terms: 0 + -8 = -8
-5x + x2 = -8

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -8 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -8 + 6.25

Combine like terms: -8 + 6.25 = -1.75
6.25 + -5x + x2 = -1.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -1.75

Can't calculate square root of the right side.

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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