9x(6x^2-9x+8)=

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Solution for 9x(6x^2-9x+8)= equation: 


Simplifying
9x(6x2 + -9x + 8) = 0

Reorder the terms:
9x(8 + -9x + 6x2) = 0
(8 * 9x + -9x * 9x + 6x2 * 9x) = 0
(72x + -81x2 + 54x3) = 0

Solving
72x + -81x2 + 54x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '9x'.
9x(8 + -9x + 6x2) = 0

Ignore the factor 9.

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 + 6x2)' equal to zero and attempt to solve:

Simplifying
8 + -9x + 6x2 = 0

Solving
8 + -9x + 6x2 = 0

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

Divide each side by '6'.
1.333333333 + -1.5x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + -1.5x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + -1.5x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + -1.5x + x2 = 0 + -1.333333333
-1.5x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
-1.5x + x2 = -1.333333333

The x term is -1.5x.  Take half its coefficient (-0.75).
Square it (0.5625) and add it to both sides.

Add '0.5625' to each side of the equation.
-1.5x + 0.5625 + x2 = -1.333333333 + 0.5625

Reorder the terms:
0.5625 + -1.5x + x2 = -1.333333333 + 0.5625

Combine like terms: -1.333333333 + 0.5625 = -0.770833333
0.5625 + -1.5x + x2 = -0.770833333

Factor a perfect square on the left side:
(x + -0.75)(x + -0.75) = -0.770833333

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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