16x^3-44x^2+42x=0

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Solution for 16x^3-44x^2+42x=0 equation: 


Simplifying
16x3 + -44x2 + 42x = 0

Reorder the terms:
42x + -44x2 + 16x3 = 0

Solving
42x + -44x2 + 16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(21 + -22x + 8x2) = 0

Ignore the factor 2.

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 '(21 + -22x + 8x2)' equal to zero and attempt to solve:

Simplifying
21 + -22x + 8x2 = 0

Solving
21 + -22x + 8x2 = 0

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

Divide each side by '8'.
2.625 + -2.75x + x2 = 0

Move the constant term to the right:

Add '-2.625' to each side of the equation.
2.625 + -2.75x + -2.625 + x2 = 0 + -2.625

Reorder the terms:
2.625 + -2.625 + -2.75x + x2 = 0 + -2.625

Combine like terms: 2.625 + -2.625 = 0.000
0.000 + -2.75x + x2 = 0 + -2.625
-2.75x + x2 = 0 + -2.625

Combine like terms: 0 + -2.625 = -2.625
-2.75x + x2 = -2.625

The x term is -2.75x.  Take half its coefficient (-1.375).
Square it (1.890625) and add it to both sides.

Add '1.890625' to each side of the equation.
-2.75x + 1.890625 + x2 = -2.625 + 1.890625

Reorder the terms:
1.890625 + -2.75x + x2 = -2.625 + 1.890625

Combine like terms: -2.625 + 1.890625 = -0.734375
1.890625 + -2.75x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -1.375)(x + -1.375) = -0.734375

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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