Solve 3(2x-1) x=4x 9

Evaluate

3 (2 x - 1) x = 4 x \times 9

Multiply the terms

3 x (2 x - 1) = 4 x \times 9

Multiply the terms

3 x (2 x - 1) = 36 x

Expand the expression

More Steps

6 x^{2} - 3 x = 36 x

Move the expression to the left side

6 x^{2} - 39 x = 0

Factor the expression

More Steps

3 x (2 x - 13) = 0

When the product of factors equals 0,at least one factor is 0

2 x - 13 = 0 3 x = 0

Solve the equation for x

More Steps

x = \frac{13}{2} 3 x = 0

Solve the equation for x

x = \frac{13}{2} x = 0

Solution

x_{1} = 0, x_{2} = \frac{13}{2}

Alternative Form

x_{1} = 0, x_{2} = 6.5

Solve the quadratic equation