Solve 25x^2-30x=-9

Solve 25x^2-30x=-9

To solve 25x^2-30x=-9 (also written as 25x²-30x=-9), we first bring it into the standard form ax²+bx+c=0. By adding 9 on both sides, the RHS becomes zero.

Coefficients

These are the coefficients, where a=25, b=-30, and c=9.

Solving quadratic equation

We now substitute the coefficients into the quadratic equation formula and simplify. Notice that since coefficient b is a negative number, - (-30) becomes +30. Students trip here, so you should sort that part out at the very beginning to avoid making any errors.

Solution 1

There is only one solution because the discriminant part (b²-4×a×c) is zero.