What are the solutions to the equation 3x(x-1)=6 ?

The solutions to the equation 3x(x-1)=6 are x=2,x=-1

Find the zeros of 3x(x-1)=6

The zeros of 3x(x-1)=6 are x=2,x=-1

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3 x (x - 1) = 6

x = 2, x = - 1

Solution steps

3 x (x - 1) = 6

Expand

3 x (x - 1) : 3 x^{2} - 3 x

3 x^{2} - 3 x = 6

Move

6

to the left side

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

Solve with the quadratic formula

x_{1, 2} = \frac{- ( - 3 ) \pm ( - 3 ) ^{2} - 4 \cdot 3 ( - 6 )}{2 \cdot 3}

(- 3)^{2} - 4 \cdot 3 (- 6) = 9

x_{1, 2} = \frac{- ( - 3 ) \pm 9}{2 \cdot 3}

Separate the solutions

x_{1} = \frac{- ( - 3 ) + 9}{2 \cdot 3}, x_{2} = \frac{- ( - 3 ) - 9}{2 \cdot 3}

x = \frac{- ( - 3 ) + 9}{2 \cdot 3} : 2

x = \frac{- ( - 3 ) - 9}{2 \cdot 3} : - 1

The solutions to the quadratic equation are:

x = 2, x = - 1

6 x^{2} - 24 = 30

2 x (x - 5) = x + 3

(a x + 7 b)^{2} - (b x + 7 a)^{2} = 0

- 9 v + 2 = v^{2} + 20

(x - 1)^{2} - 24 = 0

What are the solutions to the equation 3x(x-1)=6 ?
The solutions to the equation 3x(x-1)=6 are x=2,x=-1
Find the zeros of 3x(x-1)=6
The zeros of 3x(x-1)=6 are x=2,x=-1