Respuesta :
Answer:
h=-1/3, -1
Explanation:
Given the equation:
[tex]6h^2+8h+2=0[/tex]To solve the equation by factoring, follow the steps below:
Step 1: Multiply the coefficient of h² and the constant.
[tex]6\times2=12[/tex]Step 2: Find two numbers that multiply to give 12, and add to give the coefficient of h, 8.
• To do this, list the ,factors of the product,, 12: 1,2,3,4,6, and 12.
• Then select your two numbers by observation.
[tex]\begin{gathered} 6h+2h=8h \\ (6h)(2h)=12h^2 \end{gathered}[/tex]Step 3: Rewrite the middle with those numbers.
[tex]6h^2+6h+2h+2=0[/tex]Step 4: Factor the first two and last two terms separately. Ensure that the expression in the brackets is the same.
[tex]\begin{gathered} 6h(h+1)+2(h+1)=0 \\ (6h+2)(h+1)=0 \end{gathered}[/tex]Step 5: Solve for h.
[tex]\begin{gathered} 6h+2=0\text{ or }h+1=0 \\ 6h=-2\text{ or }h=-1 \\ h=-\frac{2}{6},h=-1 \\ h=-\frac{1}{3},h=-1 \end{gathered}[/tex]The solutions to the equation are -1/3 and -1.
