12x*1x^2=x

Solution for 12x*1x^2=x equation:

Simplifying
12x * 1x2 = x

Reorder the terms for easier multiplication:
12 * 1x * x2 = x

Multiply 12 * 1
12x * x2 = x

Multiply x * x2
12x3 = x

Solving
12x3 = x

Solving for variable 'x'.

Reorder the terms:
-1x + 12x3 = x + -1x

Combine like terms: x + -1x = 0
-1x + 12x3 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(-1 + 12x2) = 0

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 + 12x2)' equal to zero and attempt to solve:

Simplifying
-1 + 12x2 = 0

Solving
-1 + 12x2 = 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 + 12x2 = 0 + 1

Combine like terms: -1 + 1 = 0
0 + 12x2 = 0 + 1
12x2 = 0 + 1

Combine like terms: 0 + 1 = 1
12x2 = 1

Divide each side by '12'.
x2 = 0.08333333333

Simplifying
x2 = 0.08333333333

Take the square root of each side:
x = {-0.288675135, 0.288675135}
Solution
x = {0, -0.288675135, 0.288675135}