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Question
m^{2}+9m+18
Factor the expression
\left(m+3\right)\left(m+6\right)
Evaluate
m^{2}+9m+18
Rewrite the expression
m^{2}+\left(6+3\right)m+18
Calculate
m^{2}+6m+3m+18
Rewrite the expression
m\times m+m\times 6+3m+3\times 6
\text{Factor out }m\text{ from the expression}
m\left(m+6\right)+3m+3\times 6
\text{Factor out }3\text{ from the expression}
m\left(m+6\right)+3\left(m+6\right)
Solution
\left(m+3\right)\left(m+6\right)
Show Solutions
Find the roots
m_{1}=-6,m_{2}=-3
Evaluate
m^{2}+9m+18
To find the roots of the expression,set the expression equal to 0
m^{2}+9m+18=0
Factor the expression
More Steps
Evaluate
m^{2}+9m+18
Rewrite the expression
m^{2}+\left(6+3\right)m+18
Calculate
m^{2}+6m+3m+18
Rewrite the expression
m\times m+m\times 6+3m+3\times 6
\text{Factor out }m\text{ from the expression}
m\left(m+6\right)+3m+3\times 6
\text{Factor out }3\text{ from the expression}
m\left(m+6\right)+3\left(m+6\right)
\text{Factor out }m+6\text{ from the expression}
\left(m+3\right)\left(m+6\right)
\left(m+3\right)\left(m+6\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&m+3=0\\&m+6=0\end{align}
\text{Solve the equation for }m
More Steps
Evaluate
m+3=0
Move the constant to the right-hand side and change its sign
m=0-3
Removing 0 doesn't change the value,so remove it from the expression
m=-3
\begin{align}&m=-3\\&m+6=0\end{align}
\text{Solve the equation for }m
More Steps
Evaluate
m+6=0
Move the constant to the right-hand side and change its sign
m=0-6
Removing 0 doesn't change the value,so remove it from the expression
m=-6
\begin{align}&m=-3\\&m=-6\end{align}
Solution
m_{1}=-6,m_{2}=-3
Show Solutions
