What are the solutions to the equation 2x(x-2)=6 ?

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

Find the zeros of 2x(x-2)=6

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

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2 x (x - 2) = 6

x = 3, x = - 1

Solution steps

2 x (x - 2) = 6

Expand

2 x (x - 2) : 2 x^{2} - 4 x

2 x^{2} - 4 x = 6

Move

6

to the left side

2 x^{2} - 4 x - 6 = 0

Solve with the quadratic formula

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

(- 4)^{2} - 4 \cdot 2 (- 6) = 8

x_{1, 2} = \frac{- ( - 4 ) \pm 8}{2 \cdot 2}

Separate the solutions

x_{1} = \frac{- ( - 4 ) + 8}{2 \cdot 2}, x_{2} = \frac{- ( - 4 ) - 8}{2 \cdot 2}

x = \frac{- ( - 4 ) + 8}{2 \cdot 2} : 3

x = \frac{- ( - 4 ) - 8}{2 \cdot 2} : - 1

The solutions to the quadratic equation are:

x = 3, x = - 1

x^{2} - 3 x - 13 = 0

r^{2} + 10 r + 24 = 0

(7 x - 5) (x - 2) = 0

x, (x - 3) (x + 4) = 18

(5 - x)^{2} + 3 = 0

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