What are the solutions to the equation 8x^3-12x^2-2x+3=0 ?

The solutions to the equation 8x^3-12x^2-2x+3=0 are x= 3/2 ,x=-1/2 ,x= 1/2

Find the zeros of 8x^3-12x^2-2x+3=0

The zeros of 8x^3-12x^2-2x+3=0 are x= 3/2 ,x=-1/2 ,x= 1/2

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8 x^{3} - 12 x^{2} - 2 x + 3 = 0

x = \frac{3}{2}, x = - \frac{1}{2}, x = \frac{1}{2}

Decimal Notation

x = 1.5, x = - 0.5, x = 0.5

Solution steps

8 x^{3} - 12 x^{2} - 2 x + 3 = 0

Factor

8 x^{3} - 12 x^{2} - 2 x + 3 : (2 x - 3) (2 x + 1) (2 x - 1)

(2 x - 3) (2 x + 1) (2 x - 1) = 0

Using the Zero Factor Principle:

ab = 0

then

a = 0

b = 0

2 x - 3 = 0 or 2 x + 1 = 0 or 2 x - 1 = 0

Solve

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

Solve

2 x + 1 = 0 : x = - \frac{1}{2}

Solve

2 x - 1 = 0 : x = \frac{1}{2}

The solutions are

x = \frac{3}{2}, x = - \frac{1}{2}, x = \frac{1}{2}

x^{3} - 7 x^{2} + 6 x = 0

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

x^{4} + 2 x^{3} - 8 x = 16

x^{4} - x^{3} - 4 x^{2} - x + 1 = 0

4 x^{3} - 12 x = 0

What are the solutions to the equation 8x^3-12x^2-2x+3=0 ?
The solutions to the equation 8x^3-12x^2-2x+3=0 are x= 3/2 ,x=-1/2 ,x= 1/2
Find the zeros of 8x^3-12x^2-2x+3=0
The zeros of 8x^3-12x^2-2x+3=0 are x= 3/2 ,x=-1/2 ,x= 1/2