Answer: x = -0.3, x = -25.8
Step-by-step explanation:
(x + 25)(9x + 10) = 180
x(9x+10) + 25(9x+10) = 180
9x² + 10x + 225x + 250 = 180
9x² + 235x + 250 = 180
9x² + 235x + 70 = 0
a=9 b=235 c=70
Use Quadratic Formula to find the roots: [tex]x = \frac{-b+/-\sqrt{b^{2}-4ac}}{2a}[/tex]
[tex]x = \frac{-235+/-\sqrt{235^{2}-4(9)(70)}}{2(9)}[/tex]
[tex]= \frac{-235+/-\sqrt{55225-2520}}{18}[/tex]
[tex]= \frac{-235+/-\sqrt{52705}}{18}[/tex]
[tex]= \frac{-235+/-229.6}{18}[/tex]
[tex]=\frac{-235+229.6}{18}[/tex] , [tex]=\frac{-235-229.6}{18}[/tex]
[tex]= \frac{-5.4}{18}[/tex] , [tex]\frac{-464.6}{18}[/tex]
= -0.3 , -25.8
