3x=10x^2

Solution for 3x=10x^2 equation:

Simplifying
3x = 10x2

Solving
3x = 10x2

Solving for variable 'x'.

Combine like terms: 10x2 + -10x2 = 0
3x + -10x2 = 0

Factor out the Greatest Common Factor (GCF), 'x'.
x(3 + -10x) = 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 '(3 + -10x)' equal to zero and attempt to solve:

Simplifying
3 + -10x = 0

Solving
3 + -10x = 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 + -10x = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -10x = 0 + -3
-10x = 0 + -3

Combine like terms: 0 + -3 = -3
-10x = -3

Divide each side by '-10'.
x = 0.3

Simplifying
x = 0.3
Solution
x = {0, 0.3}