150x^2=300x

Solution for 150x^2=300x equation:

Simplifying
150x2 = 300x

Solving
150x2 = 300x

Solving for variable 'x'.

Reorder the terms:
-300x + 150x2 = 300x + -300x

Combine like terms: 300x + -300x = 0
-300x + 150x2 = 0

Factor out the Greatest Common Factor (GCF), '150x'.
150x(-2 + x) = 0

Ignore the factor 150.
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 '(-2 + x)' equal to zero and attempt to solve:

Simplifying
-2 + x = 0

Solving
-2 + x = 0

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

Add '2' to each side of the equation.
-2 + 2 + x = 0 + 2

Combine like terms: -2 + 2 = 0
0 + x = 0 + 2
x = 0 + 2

Combine like terms: 0 + 2 = 2
x = 2

Simplifying
x = 2
Solution
x = {0, 2}