10x(4x-9)x=

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Solution for 10x(4x-9)x= equation: 


Simplifying
10x(4x + -9) * x = 0

Reorder the terms:
10x(-9 + 4x) * x = 0

Reorder the terms for easier multiplication:
10x * x(-9 + 4x) = 0

Multiply x * x
10x2(-9 + 4x) = 0
(-9 * 10x2 + 4x * 10x2) = 0
(-90x2 + 40x3) = 0

Solving
-90x2 + 40x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '10x2'.
10x2(-9 + 4x) = 0

Ignore the factor 10.

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 '(-9 + 4x)' equal to zero and attempt to solve:

Simplifying
-9 + 4x = 0

Solving
-9 + 4x = 0

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

Add '9' to each side of the equation.
-9 + 9 + 4x = 0 + 9

Combine like terms: -9 + 9 = 0
0 + 4x = 0 + 9
4x = 0 + 9

Combine like terms: 0 + 9 = 9
4x = 9

Divide each side by '4'.
x = 2.25

Simplifying
x = 2.25
Solution
x = {0, 2.25}

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