What are the solutions to the equation 12b^3-11b^2+2b=0 ?

The solutions to the equation 12b^3-11b^2+2b=0 are b=0,b= 1/4 ,b= 2/3

Find the zeros of 12b^3-11b^2+2b=0

The zeros of 12b^3-11b^2+2b=0 are b=0,b= 1/4 ,b= 2/3

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12 b^{3} - 11 b^{2} + 2 b = 0

b = 0, b = \frac{1}{4}, b = \frac{2}{3}

Solution steps

12 b^{3} - 11 b^{2} + 2 b = 0

Factor

12 b^{3} - 11 b^{2} + 2 b : b (4 b - 1) (3 b - 2)

b (4 b - 1) (3 b - 2) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

b = 0 or 4 b - 1 = 0 or 3 b - 2 = 0

Solve

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

Solve

3 b - 2 = 0 : b = \frac{2}{3}

The solutions are

b = 0, b = \frac{1}{4}, b = \frac{2}{3}

z^{4} + 2 z^{2} = 3 i

185 = 5 x^{3}

X^{3} - X^{2} - 4 X + 4 = 0

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

(1 + x^{2})^{2} = 4 (1 - x^{2})

What are the solutions to the equation 12b^3-11b^2+2b=0 ?
The solutions to the equation 12b^3-11b^2+2b=0 are b=0,b= 1/4 ,b= 2/3
Find the zeros of 12b^3-11b^2+2b=0
The zeros of 12b^3-11b^2+2b=0 are b=0,b= 1/4 ,b= 2/3