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Question
5x^{2}+10x
Factor the expression
5x\left(x+2\right)
Evaluate
5x^{2}+10x
Rewrite the expression
5x\times x+5x\times 2
Solution
5x\left(x+2\right)
Show Solutions
Find the roots
x_{1}=-2,x_{2}=0
Evaluate
5x^{2}+10x
To find the roots of the expression,set the expression equal to 0
5x^{2}+10x=0
Factor the expression
More Steps
Evaluate
5x^{2}+10x
Rewrite the expression
5x\times x+5x\times 2
\text{Factor out }5x\text{ from the expression}
5x\left(x+2\right)
5x\left(x+2\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&5x=0\\&x+2=0\end{align}
\text{Solve the equation for }x
\begin{align}&x=0\\&x+2=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
x+2=0
Move the constant to the right-hand side and change its sign
x=0-2
Removing 0 doesn't change the value,so remove it from the expression
x=-2
\begin{align}&x=0\\&x=-2\end{align}
Solution
x_{1}=-2,x_{2}=0
Show Solutions
