Answer:
x = 0
Step-by-step explanation:
If, in fact, this is the polynomial you have:
[tex]\frac{7}{4}x-\frac{5}{6}=\frac{5}{8}(x-\frac{2}{3})[/tex], then x = 0.
Begin by distributing the 5/8 into the parenthesis to simplify to:
[tex]\frac{7}{4}x-\frac{5}{6}=\frac{5}{8}x-\frac{10}{24}[/tex]
The next thing to do would be to find the LCM and get rid of all those fractions! Each one of those denominators goes into 24 evenly, so we multiply every single term by 24:
[tex](24)\frac{7}{4}x-(24)\frac{5}{6}=(24)\frac{5}{8}x-(24)\frac{10}{24}[/tex]
Divide each denominator into 24 and you get:
[tex](6)7x-(4)5=(3)5x-(2)10[/tex]
Multiply all that to get
42x - 20 = 15x - 20
Combine like terms to get
27x = 0 so
x = 0
