8x^4-x^3+12x^2=

Solution for 8x^4-x^3+12x^2= equation:

Simplifying
8x4 + -1x3 + 12x2 = 0

Reorder the terms:
12x2 + -1x3 + 8x4 = 0

Solving
12x2 + -1x3 + 8x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x2'.
x2(12 + -1x + 8x2) = 0

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 '(12 + -1x + 8x2)' equal to zero and attempt to solve:

Simplifying
12 + -1x + 8x2 = 0

Solving
12 + -1x + 8x2 = 0

Begin completing the square.  Divide all terms by
8 the coefficient of the squared term: 

Divide each side by '8'.
1.5 + -0.125x + x2 = 0

Move the constant term to the right:

Add '-1.5' to each side of the equation.
1.5 + -0.125x + -1.5 + x2 = 0 + -1.5

Reorder the terms:
1.5 + -1.5 + -0.125x + x2 = 0 + -1.5

Combine like terms: 1.5 + -1.5 = 0.0
0.0 + -0.125x + x2 = 0 + -1.5
-0.125x + x2 = 0 + -1.5

Combine like terms: 0 + -1.5 = -1.5
-0.125x + x2 = -1.5

The x term is -0.125x.  Take half its coefficient (-0.0625).
Square it (0.00390625) and add it to both sides.

Add '0.00390625' to each side of the equation.
-0.125x + 0.00390625 + x2 = -1.5 + 0.00390625

Reorder the terms:
0.00390625 + -0.125x + x2 = -1.5 + 0.00390625

Combine like terms: -1.5 + 0.00390625 = -1.49609375
0.00390625 + -0.125x + x2 = -1.49609375

Factor a perfect square on the left side:
(x + -0.0625)(x + -0.0625) = -1.49609375

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}