What are the solutions to the equation 4x^3-9x^2+2x=0 ?

The solutions to the equation 4x^3-9x^2+2x=0 are x=0,x= 1/4 ,x=2

Find the zeros of 4x^3-9x^2+2x=0

The zeros of 4x^3-9x^2+2x=0 are x=0,x= 1/4 ,x=2

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4 x^{3} - 9 x^{2} + 2 x = 0

x = 0, x = \frac{1}{4}, x = 2

Decimal Notation

x = 0, x = 0.25, x = 2

Solution steps

4 x^{3} - 9 x^{2} + 2 x = 0

Factor

4 x^{3} - 9 x^{2} + 2 x : x (4 x - 1) (x - 2)

x (4 x - 1) (x - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

x = 0 or 4 x - 1 = 0 or x - 2 = 0

Solve

4 x - 1 = 0 : x = \frac{1}{4}

Solve

x - 2 = 0 : x = 2

The solutions are

x = 0, x = \frac{1}{4}, x = 2

5 y^{3} + 2 y^{2} - 45 y - 18 = 0

(5 x - 2)^{3} + 10 = 18

10 x^{4} - 17 x^{2} + 3 = 0

x^{3} + 8 x^{2} - 4 x - 32 = 0

8 x^{3} + 7 = 8

What are the solutions to the equation 4x^3-9x^2+2x=0 ?
The solutions to the equation 4x^3-9x^2+2x=0 are x=0,x= 1/4 ,x=2
Find the zeros of 4x^3-9x^2+2x=0
The zeros of 4x^3-9x^2+2x=0 are x=0,x= 1/4 ,x=2