# How do you find the solution set for 5x² - 30x = -25 ?

May 24, 2015

$5 {x}^{2} - 30 x + 25 = 0$

$5 \left({x}^{2} - 6 x + 5\right) = 0$

$\implies {x}^{2} - 6 x + 5 = 0$

${x}^{2} - 5 x - x + 5 = 0$

$x \left(x - 5\right) - 1 \left(x - 5\right) = 0$

$\implies \left(x - 5\right) \left(x - 1\right) = 0$

$x = 5 , 1$