Solve x^2-2x=3 x/2

Evaluate

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

Multiply the terms

x^{2} - 2 x = \frac{3 x}{2}

Multiply both sides of the equation by LCD

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

Simplify the equation

More Steps

2 x^{2} - 4 x = \frac{3 x}{2} \times 2

Simplify the equation

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

Move the expression to the left side

2 x^{2} - 7 x = 0

Factor the expression

More Steps

x (2 x - 7) = 0

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

2 x - 7 = 0 x = 0

Solve the equation for x

More Steps

x = \frac{7}{2} x = 0

Solution

x_{1} = 0, x_{2} = \frac{7}{2}

Alternative Form

x_{1} = 0, x_{2} = 3.5

Solve the quadratic equation