Question

Solve the equation.

$2x^2-4x=0$

Short answer

The solutions of the given equation are $x=0,2$.

Step-by-step solution

Step 1. Define an equation.

In mathematics, an equation is a statement that asserts the equality of two expressions, which are connected by the equal sign $"="$.

Step 2. Write the standard form of a quadratic equation.

The standard form of a quadratic equation is given by

$a{x}^2+bx+c=0$, where$a\ne 0$

Step 3. Solve the equation 2x2−4x=0.

$$\begin{gathered} 2x^2-4x=0 \\ 2x\left(x-2\right)=0 \\ x\left(x-2\right)=\frac{0}{2} \\ x\left(x-2\right)=0 \\ x=0,2 \end{gathered}$$

Therefore the solutions of the given equation are $x=0,2$.