3x(2x*5x)=30x

Solution for 3x(2x*5x)=30x equation:

Simplifying
3x(2x * 5x) = 30x

Reorder the terms for easier multiplication:
3x(2 * 5x * x) = 30x

Multiply 2 * 5
3x(10x * x) = 30x

Multiply x * x
3x(10x2) = 30x

Remove parenthesis around (10x2)
3x * 10x2 = 30x

Reorder the terms for easier multiplication:
3 * 10x * x2 = 30x

Multiply 3 * 10
30x * x2 = 30x

Multiply x * x2
30x3 = 30x

Solving
30x3 = 30x

Solving for variable 'x'.

Reorder the terms:
-30x + 30x3 = 30x + -30x

Combine like terms: 30x + -30x = 0
-30x + 30x3 = 0

Factor out the Greatest Common Factor (GCF), '30x'.
30x(-1 + x2) = 0

Factor a difference between two squares.
30x((1 + x)(-1 + x)) = 0

Ignore the factor 30.
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 '(1 + x)' equal to zero and attempt to solve:

Simplifying
1 + x = 0

Solving
1 + x = 0

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

Add '-1' to each side of the equation.
1 + -1 + x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Subproblem 3
Set the factor '(-1 + x)' equal to zero and attempt to solve:

Simplifying
-1 + x = 0

Solving
-1 + x = 0

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

Add '1' to each side of the equation.
-1 + 1 + x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + x = 0 + 1
x = 0 + 1

Combine like terms: 0 + 1 = 1
x = 1

Simplifying
x = 1
Solution
x = {0, -1, 1}