Solve 3(2x-5) x=7x 1

Evaluate

3 (2 x - 5) x = 7 x \times 1

Multiply the terms

3 x (2 x - 5) = 7 x \times 1

Multiply the terms

3 x (2 x - 5) = 7 x

Expand the expression

More Steps

6 x^{2} - 15 x = 7 x

Move the expression to the left side

6 x^{2} - 22 x = 0

Factor the expression

More Steps

2 x (3 x - 11) = 0

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

3 x - 11 = 0 2 x = 0

Solve the equation for x

More Steps

x = \frac{11}{3} 2 x = 0

Solve the equation for x

x = \frac{11}{3} x = 0

Solution

x_{1} = 0, x_{2} = \frac{11}{3}

Alternative Form

x_{1} = 0, x_{2} = 3. \dot{6}

Solve the quadratic equation