Answer:
21 jk
Step-by-step explanation:
Move all terms to the left side and set equal to zero. Then set each factor equal to zero. Exact Form: x = 1 , − 7 5 Decimal Form: x = 1 , − 1.4 Mixed Number Form: x = 1 , − 1 2 5
Answer:
[tex]\sf x=1, \ x = -1\frac{2}{5}[/tex]
explanation:
[tex]\hookrightarrow \sf 5x^2 + 2x - 7=0[/tex]
the common multiple of 5 and 7 is 35: 7 * 5
[tex]\hookrightarrow \sf 5x^2 + 7x-5x - 7=0[/tex]
breakdown
[tex]\hookrightarrow \sf x(5x + 7)-1(5x + 7 )=0[/tex]
group the integers
[tex]\hookrightarrow \sf (x-1)(5x+7)=0[/tex]
separate the parenthesis
[tex]\hookrightarrow \sf x-1=0, \ 5x +7 = 0[/tex]
change sides
[tex]\hookrightarrow \sf x=1, \ 5x = -7[/tex]
in improper faction
[tex]\hookrightarrow \sf x=1, \ x = \frac{-7}{5}[/tex]
Final answer in mixed fraction
[tex]\hookrightarrow \sf x=1, \ x = -1\frac{2}{5}[/tex]
