To solve these equations, we need to factor out common terms and set each factor equal to zero:
1) 2x² - 3x = 0x(2x - 3) = 0x = 0 or 2x - 3 = 0x = 0 or x = 3/2
2) 6x² - 0.5x = 0x(6x - 0.5) = 0x = 0 or 6x - 0.5 = 0x = 0 or 6x = 0.5x = 0 or x = 0.5/6x = 0 or x = 1/12
3) 7x - 0.2x² = 0x(7 - 0.2x) = 0x = 0 or 7 - 0.2x = 0x = 0 or -0.2x = -7x = 0 or x = 7/0.2x = 0 or x = 35
Therefore, the solutions to the equations are:1) x = 0 or x = 3/22) x = 0 or x = 1/123) x - 0 or x = 35.
To solve these equations, we need to factor out common terms and set each factor equal to zero:
1) 2x² - 3x = 0
x(2x - 3) = 0
x = 0 or 2x - 3 = 0
x = 0 or x = 3/2
2) 6x² - 0.5x = 0
x(6x - 0.5) = 0
x = 0 or 6x - 0.5 = 0
x = 0 or 6x = 0.5
x = 0 or x = 0.5/6
x = 0 or x = 1/12
3) 7x - 0.2x² = 0
x(7 - 0.2x) = 0
x = 0 or 7 - 0.2x = 0
x = 0 or -0.2x = -7
x = 0 or x = 7/0.2
x = 0 or x = 35
Therefore, the solutions to the equations are:
1) x = 0 or x = 3/2
2) x = 0 or x = 1/12
3) x - 0 or x = 35.