100x³+200x²-9x-18=0
100x²(x + 2) - 9(x + 2) = 0
(100x² - 9)(x + 2) = 0
((10x)² - 3²)(x + 2) = 0
(10x - 3)(10x + 3)(x + 2) = 0
x₁ = -2
x₂ = -3/10
x₃ = 3/10
100x³+200x²-9x-18=0
100x²(x + 2) - 9(x + 2) = 0
(100x² - 9)(x + 2) = 0
((10x)² - 3²)(x + 2) = 0
(10x - 3)(10x + 3)(x + 2) = 0
x₁ = -2
x₂ = -3/10
x₃ = 3/10