Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
2v^{2}+9v+7
Factor the expression
\left(v+1\right)\left(2v+7\right)
Evaluate
2v^{2}+9v+7
Rewrite the expression
2v^{2}+\left(7+2\right)v+7
Calculate
2v^{2}+7v+2v+7
Rewrite the expression
v\times 2v+v\times 7+2v+7
\text{Factor out }v\text{ from the expression}
v\left(2v+7\right)+2v+7
Solution
\left(v+1\right)\left(2v+7\right)
Show Solutions
Find the roots
v_{1}=-\frac{7}{2},v_{2}=-1
Alternative Form
v_{1}=-3.5,v_{2}=-1
Evaluate
2v^{2}+9v+7
To find the roots of the expression,set the expression equal to 0
2v^{2}+9v+7=0
Factor the expression
More Steps
Evaluate
2v^{2}+9v+7
Rewrite the expression
2v^{2}+\left(7+2\right)v+7
Calculate
2v^{2}+7v+2v+7
Rewrite the expression
v\times 2v+v\times 7+2v+7
\text{Factor out }v\text{ from the expression}
v\left(2v+7\right)+2v+7
\text{Factor out }2v+7\text{ from the expression}
\left(v+1\right)\left(2v+7\right)
\left(v+1\right)\left(2v+7\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&v+1=0\\&2v+7=0\end{align}
\text{Solve the equation for }v
More Steps
Evaluate
v+1=0
Move the constant to the right-hand side and change its sign
v=0-1
Removing 0 doesn't change the value,so remove it from the expression
v=-1
\begin{align}&v=-1\\&2v+7=0\end{align}
\text{Solve the equation for }v
More Steps
Evaluate
2v+7=0
Move the constant to the right-hand side and change its sign
2v=0-7
Removing 0 doesn't change the value,so remove it from the expression
2v=-7
Divide both sides
\frac{2v}{2}=\frac{-7}{2}
Divide the numbers
v=\frac{-7}{2}
\text{Use }\frac{-a}{b}=\frac{a}{-b}=-\frac{a}{b}\text{ to rewrite the fraction}
v=-\frac{7}{2}
\begin{align}&v=-1\\&v=-\frac{7}{2}\end{align}
Solution
v_{1}=-\frac{7}{2},v_{2}=-1
Alternative Form
v_{1}=-3.5,v_{2}=-1
Show Solutions
