Solve the equation for x:

36x³ - 100x = 0

36x³ - 100x = 0

36x³ - 100x = 0

4x(9x² - 25) = 0 {factored out the common factor, x}

4x(3x + 5)(3x - 5) = 0 {factored the difference of two squares}

4x = 0 or 3x + 5 = 0 or 3x - 5 = 0 {set each factor equal to 0}

x = 0 or x = -5/3 or x = 5/3 {solved each equation for x}

4x(9x² - 25) = 0 {factored out the common factor, x}

4x(3x + 5)(3x - 5) = 0 {factored the difference of two squares}

4x = 0 or 3x + 5 = 0 or 3x - 5 = 0 {set each factor equal to 0}

x = 0 or x = -5/3 or x = 5/3 {solved each equation for x}

**x = 0, -5/3, 5/3**

**- Algebra House**