Question

Solve by factoring.

m^2+6m+5=0

Answer 1

-1 and -5

Explanation:

m^2 + 6m + 5 = 0 is factored to: (m + 1)(m + 5) = 0.

The zero product property states that one of the represented parenthesis must equal zero to satisfy the right side of the equation.

(m + 1) = 0

(-1 + 1) = 0

This means that one of the values for m is -1.

(m + 5) = 0

(-5 + 5) = 0

This means that one of the values for m is -5.

Moreover, the value of m by factoring is -1 and -5

Answer 2

• 
  `\sf m=-1,-5`

Explanation:

`\sf m^2+6m+5=0`

Factor, m^2+6m+5

Find, the two numbers that add up to 6 and multiply to 5: 1 and 5

Now, Rewrite the expression:

`\sf (m+1)(m+5)`

`\sf (m+1)(m+5)=0`

Now, we will solve the non-linear equation, we can apply the zero product theorem. Each variable factor in the original equation needs to be set to zero.

`\sf m+1=0`

`\sf m+5=0`

Now, solve each of the 2 equations:

`\sf m+1=0`

Subtract 11 from both sides:

• 
  `\sf m=-1`

`\sf m+5=0`

Subtract 5 from both sides:

• 
  `\sf m=-5`

`\sf m=-1,-5`

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