Answer:
x = 8
[tex]x=1\frac{2}{3}[/tex]
Step-by-step explanation:
0 = (x - 8)(3x - 5)
(x - 8)(3x - 5) = 0
x(3x - 5) - 8(3x - 5) = 0
3x² - 5x - 8(3x - 5) = 0
3x² - 5x - 24x + 40 = 0
3x² - 29x + 40 = 0
[tex]x=\frac{-b±\sqrt{b^{2}-4ac } }{2a}[/tex]
Ignore the A before the ±. It wouldn't let me type it correctly.
3x² - 29x + 40 = 0
a = 3
b = - 29
c = 40
[tex]x=\frac{-(-29)±\sqrt{(-29)^{2}-4((3)(40)) } }{2(3)}[/tex]
[tex]x=\frac{-(-29)±\sqrt{841-4((3)(40)) } }{2(3)}[/tex]
[tex]x=\frac{29±\sqrt{841-480} }{2(3)}[/tex]
[tex]x=\frac{29±\sqrt{361} }{2(3)}[/tex]
[tex]x=\frac{29±19 }{2(3)}[/tex]
[tex]x=\frac{29±19 }{6}[/tex]
Two separate equations
[tex]x=\frac{29+19 }{6}[/tex]
[tex]x=\frac{48 }{6}[/tex]
x = 8
[tex]x=\frac{29-19 }{6}[/tex]
[tex]x=\frac{10 }{6}[/tex]
[tex]x=\frac{5 }{3}[/tex]
[tex]x=1\frac{2}{3}[/tex]
