Question

Solve the quadratic equation. $$13 x^{2}-26 x=0$$

Short answer

The solutions to the equation are \(x = 0\) and \(x = 2\).

Step-by-step solution

Set the Equation to Zero

Given the equation \(13 x^{2}-26 x = 0\), it is already set to zero.

Factor the Equation

Factor out the common factor, which in this case is \(13x\). So, the equation becomes : \(13x (x - 2) = 0\).

Find the Roots of the Equation

Next, set the factored elements to zero and solve for \(x\). This gives \(x = 0\) and \(x = 2\).