45x=90x^2

Solution for 45x=90x^2 equation:

Simplifying
45x = 90x2

Solving
45x = 90x2

Solving for variable 'x'.

Combine like terms: 90x2 + -90x2 = 0
45x + -90x2 = 0

Factor out the Greatest Common Factor (GCF), '45x'.
45x(1 + -2x) = 0

Ignore the factor 45.
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 + -2x)' equal to zero and attempt to solve:

Simplifying
1 + -2x = 0

Solving
1 + -2x = 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 + -2x = 0 + -1

Combine like terms: 1 + -1 = 0
0 + -2x = 0 + -1
-2x = 0 + -1

Combine like terms: 0 + -1 = -1
-2x = -1

Divide each side by '-2'.
x = 0.5

Simplifying
x = 0.5
Solution
x = {0, 0.5}