[tex] \\ [/tex]
[tex] \\ \large\texttt{GIVEN:} \sf{ 2x²+7x+3=0} \\ [/tex]
Remove 2 by multiplying to 3
[tex] \\ {x}^{2} + 7x + 6 = 0 \\ [/tex]
Find the factor of 6 that will equal to 7 when adding the factors
[tex] \\ (x + 6)(x + 1) \\ [/tex]
Divide 2 to the constants
[tex] \\ (x + \frac{6}{2} )(x + \frac{1}{2} ) \\ [/tex]
Simplify
[tex] \\ (x + 3)(x + \frac{1}{2} ) \\ [/tex]
Multiply the denominator to x
[tex] \\ (x + 3)(2x + 1) \\ [/tex]
[tex] \\ \\ [/tex]
[tex] \\ \large \bold{ROOTS} \\ [/tex]
[tex] \\ x + 3 = 0 \\ [/tex]
Transfer 3 to the right side then change ita integer sign
[tex] \\ \boxed{x = - 3} \\ \\ [/tex]
[tex] \\ 2x + 1 = 0 \\ [/tex]
Transfer 1 then change its integer sign
[tex] \\ 2x = - 1 \\ [/tex]
Divide 2 to both sides
[tex] \\ \frac{2x}{2} = \frac{ - 1}{2} \\ [/tex]
Cancel both 2 from the left side
[tex] \\ \frac{ \cancel{2}x}{ \cancel{2}} = \frac{ - 1}{2} \\ [/tex]
[tex] \\ \boxed{x = \frac{ - 1}{2} }\\ [/tex]
[tex] \\ \\ \\ [/tex]
#CarryOnLearning
