0=-10x^2+30x

Solution for 0=-10x^2+30x equation:

Simplifying
0 = -10x2 + 30x

Reorder the terms:
0 = 30x + -10x2

Solving
0 = 30x + -10x2

Solving for variable 'x'.
Remove the zero:
-30x + 10x2 = 30x + -10x2 + -30x + 10x2

Reorder the terms:
-30x + 10x2 = 30x + -30x + -10x2 + 10x2

Combine like terms: 30x + -30x = 0
-30x + 10x2 = 0 + -10x2 + 10x2
-30x + 10x2 = -10x2 + 10x2

Combine like terms: -10x2 + 10x2 = 0
-30x + 10x2 = 0

Factor out the Greatest Common Factor (GCF), '10x'.
10x(-3 + x) = 0

Ignore the factor 10.
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 + x)' equal to zero and attempt to solve:

Simplifying
-3 + x = 0

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

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

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

Simplifying
x = 3
Solution
x = {0, 3}