Solve the quadratic equation: x^{2}+ 7x + 10 = 0

burkinaval1b

burkinaval1b

Answered question

2022-01-14

Solve the quadratic equation: x2+7x+10=0 using factors

Answer & Explanation

Navreaiw

Navreaiw

Beginner2022-01-15Added 34 answers

Step 1
Given equation:
x2+7x+10=0
Step 2
Solution:
x2+7x+10=0
x2+5x+2x+10=0
x(x+5)+2(x+5)=0
(x+5)(x+2)=0
Now put factors equal to zero to determine the solution for x:
(x+5)=0
x=-5
(x+2)=0
x=-2
Answer:
x=-5, -2
Bukvald5z

Bukvald5z

Beginner2022-01-18Added 33 answers

Solve x2+7x+10=0
Try to Factor. Are there factors of 10 that add up to 7?
(x+5)(x+2)=0
Zero product property - if a*b=0 then a =0 or b=0
So, in this case (x+5)(x+2)=0 means x+5=0 or x+2=0
x+5=0 or x=2=0
x=-5
x=-2

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