Solve 3/(2x-1)*(-1)/(2x 1)=2

Evaluate

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

Simplify

More Steps

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

Rewrite the expression

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

Cross multiply

- 3 = 2 x (2 x - 1) \times 2

Simplify the equation

- 3 = 4 x (2 x - 1)

Swap the sides of the equation

4 x (2 x - 1) = - 3

Expand the expression

More Steps

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

Move the expression to the left side

8 x^{2} - 4 x - (- 3) = 0

If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses

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

Substitute a= 8,b= - 4 and c= 3 into the quadratic formula x = \frac{- b \pm b ^{2} - 4 a c}{2 a}

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 8 \times 3}{2 \times 8}

Simplify the expression

x = \frac{4 \pm ( - 4 ) ^{2} - 4 \times 8 \times 3}{16}

Simplify the expression

More Steps

x = \frac{4 \pm - 80}{16}

Solution

x \in / R

Alternative Form

No real solution

Solve the equation

Graph