What is the answer to x(2x-4)=(2x+1)(x-2) ?

The answer to x(2x-4)=(2x+1)(x-2) is x=2

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x(2x-4)=(2x+1)(x-2)

x (2 x - 4) = (2 x + 1) (x - 2)

x = 2

Solution steps

x (2 x - 4) = (2 x + 1) (x - 2)

Expand

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

Expand

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

2 x^{2} - 4 x = 2 x^{2} - 3 x - 2

Subtract

2 x^{2} - 3 x

from both sides

2 x^{2} - 4 x - (2 x^{2} - 3 x) = 2 x^{2} - 3 x - 2 - (2 x^{2} - 3 x)

Simplify

- x = - 2

Divide both sides by

- 1

x = 2

25 x^{2} + 60 x = - 36

(- 2 - 4 i)^{2}

\frac{32 t}{32} = \frac{112}{32}

\frac{1}{3} \cdot 7

2 x^{2} - 21 x y + 27 y^{2}

What is the answer to x(2x-4)=(2x+1)(x-2) ?
The answer to x(2x-4)=(2x+1)(x-2) is x=2
Solve for x: x(2x-4)=(2x+1)(x-2)
The solution is x=2