18x(x)(x)=50x

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Solution for 18x(x)(x)=50x equation: 


Simplifying
18x(x)(x) = 50x

Multiply x * x
18x2 * x = 50x

Multiply x2 * x
18x3 = 50x

Solving
18x3 = 50x

Solving for variable 'x'.

Reorder the terms:
-50x + 18x3 = 50x + -50x

Combine like terms: 50x + -50x = 0
-50x + 18x3 = 0

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-25 + 9x2) = 0

Factor a difference between two squares.
2x((5 + 3x)(-5 + 3x)) = 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 '(5 + 3x)' equal to zero and attempt to solve:

Simplifying
5 + 3x = 0

Solving
5 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = -1.666666667

Simplifying
x = -1.666666667

Subproblem 3
Set the factor '(-5 + 3x)' equal to zero and attempt to solve:

Simplifying
-5 + 3x = 0

Solving
-5 + 3x = 0

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

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

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

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

Divide each side by '3'.
x = 1.666666667

Simplifying
x = 1.666666667
Solution
x = {0, -1.666666667, 1.666666667}

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