9x^2(10x^5-6)=

Solution for 9x^2(10x^5-6)= equation:

Simplifying
9x2(10x5 + -6) = 0

Reorder the terms:
9x2(-6 + 10x5) = 0
(-6 * 9x2 + 10x5 * 9x2) = 0
(-54x2 + 90x7) = 0

Solving
-54x2 + 90x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '18x2'.
18x2(-3 + 5x5) = 0

Ignore the factor 18.
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 '(-3 + 5x5)' equal to zero and attempt to solve:

Simplifying
-3 + 5x5 = 0

Solving
-3 + 5x5 = 0

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

Add '3' to each side of the equation.
-3 + 3 + 5x5 = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 5x5 = 0 + 3
5x5 = 0 + 3

Combine like terms: 0 + 3 = 3
5x5 = 3

Divide each side by '5'.
x5 = 0.6

Simplifying
x5 = 0.6

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}