Question

solve for x. - 30x = 9x^{2}+25. if there is more than one solution, separate them with commas. if there is no solution, click on
o solution\.

Explanation:

Step1: Rearrange to standard quadratic form

$9x^{2}+30x + 25=0$

Step2: Identify coefficients for quadratic formula

For $ax^{2}+bx + c = 0$, here $a = 9$, $b = 30$, $c = 25$.

Step3: Calculate the discriminant $\Delta=b^{2}-4ac$

$\Delta=(30)^{2}-4\times9\times25=900 - 900=0$

Step4: Use quadratic formula $x=\frac{-b\pm\sqrt{\Delta}}{2a}$

Since $\Delta = 0$, $x=\frac{-30\pm\sqrt{0}}{2\times9}=\frac{-30}{18}=-\frac{5}{3}$

Answer:

$-\frac{5}{3}$