4x^3-9x^2+8x=0

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Solution for 4x^3-9x^2+8x=0 equation: 


Simplifying
4x3 + -9x2 + 8x = 0

Reorder the terms:
8x + -9x2 + 4x3 = 0

Solving
8x + -9x2 + 4x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(8 + -9x + 4x2) = 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 '(8 + -9x + 4x2)' equal to zero and attempt to solve:

Simplifying
8 + -9x + 4x2 = 0

Solving
8 + -9x + 4x2 = 0

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

Divide each side by '4'.
2 + -2.25x + x2 = 0

Move the constant term to the right:

Add '-2' to each side of the equation.
2 + -2.25x + -2 + x2 = 0 + -2

Reorder the terms:
2 + -2 + -2.25x + x2 = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -2.25x + x2 = 0 + -2
-2.25x + x2 = 0 + -2

Combine like terms: 0 + -2 = -2
-2.25x + x2 = -2

The x term is -2.25x.  Take half its coefficient (-1.125).
Square it (1.265625) and add it to both sides.

Add '1.265625' to each side of the equation.
-2.25x + 1.265625 + x2 = -2 + 1.265625

Reorder the terms:
1.265625 + -2.25x + x2 = -2 + 1.265625

Combine like terms: -2 + 1.265625 = -0.734375
1.265625 + -2.25x + x2 = -0.734375

Factor a perfect square on the left side:
(x + -1.125)(x + -1.125) = -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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