1) 5y^2 - 4y = 0=> y(5y - 4) = 0
This equation can be separated into two equations:y = 05y - 4 = 05y = 4y = 4/5
Therefore, the solutions are y = 0, y = 4/5.
2) 2x^2 + 3x = 0=> x(2x + 3) = 0
This equation can be separated into two equations:x = 02x + 3 = 02x = -3x = -3/2
Therefore, the solutions are x = 0, x = -3/2.
3) 1 - 4y^2 = 0=> 4y^2 = 1=> y^2 = 1/4=> y = ±1/2
Therefore, the solutions are y = 1/2, y = -1/2.
1) 5y^2 - 4y = 0
=> y(5y - 4) = 0
This equation can be separated into two equations:
y = 0
5y - 4 = 0
5y = 4
y = 4/5
Therefore, the solutions are y = 0, y = 4/5.
2) 2x^2 + 3x = 0
=> x(2x + 3) = 0
This equation can be separated into two equations:
x = 0
2x + 3 = 0
2x = -3
x = -3/2
Therefore, the solutions are x = 0, x = -3/2.
3) 1 - 4y^2 = 0
=> 4y^2 = 1
=> y^2 = 1/4
=> y = ±1/2
Therefore, the solutions are y = 1/2, y = -1/2.