What is the answer to 2x(x-2)+6=2(x^2+2) ?

The answer to 2x(x-2)+6=2(x^2+2) is x= 1/2

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2x(x-2)+6=2(x^2+2)

2 x (x - 2) + 6 = 2 (x^{2} + 2)

x = \frac{1}{2}

Decimal Notation

x = 0.5

Solution steps

2 x (x - 2) + 6 = 2 (x^{2} + 2)

Expand

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

2 x^{2} - 4 x + 6 = 2 (x^{2} + 2)

Expand

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

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

Move

6

to the right side

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

Move

2 x^{2}

to the left side

- 4 x = - 2

Divide both sides by

- 4

x = \frac{1}{2}

x - 11 = - 5 x^{2}

49 x^{2} + 16 = 56 x

(y^{3} - 7 x^{4} y^{4}) + (- 10 x^{4} y^{3} + 6 y^{3} + 4 x^{4} y^{4}) - (x^{4} y^{3} + 6 x^{4} y^{4})

8 + 7

- 8 + 4 y = - 20

What is the answer to 2x(x-2)+6=2(x^2+2) ?
The answer to 2x(x-2)+6=2(x^2+2) is x= 1/2
Solve for x: 2x(x-2)+6=2(x^2+2)
The solution is x= 1/2