Solve the polynomial equation

Solve the equation for x:
36x³ - 100x = 0

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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}

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

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