Solve 6x^2=12x-24

To solve 6x^2=12x-24 (also written as 6x²=12x-24), we start by rearranging the formula into the standard form ax²+bx+c=0. In this case, we move the +12x and -24 to the other side, and reverse their signs.

These are the coefficients, where a=6, b=-12, and c=24.

We now install the coefficients into the quadratic equation formula and simplify. Notice that since coefficient b is a negative number - (-12) becomes +12. Students trip here, so you should sort that part out at the very beginning to avoid making any errors.

This is the first solution.

This is the second solution.