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Question
169x^{2}-169x^{3}\times 6
Simplify the expression
169x^{2}-1014x^{3}
Evaluate
169x^{2}-169x^{3}\times 6
Solution
169x^{2}-1014x^{3}
Show Solutions
Factor the expression
169x^{2}\left(1-6x\right)
Evaluate
169x^{2}-169x^{3}\times 6
Multiply the terms
169x^{2}-1014x^{3}
Rewrite the expression
169x^{2}-169x^{2}\times 6x
Solution
169x^{2}\left(1-6x\right)
Show Solutions
Find the roots
x_{1}=0,x_{2}=\frac{1}{6}
Alternative Form
x_{1}=0,x_{2}=0.1\dot{6}
Evaluate
169x^{2}-169x^{3}\times 6
To find the roots of the expression,set the expression equal to 0
169x^{2}-169x^{3}\times 6=0
Multiply the terms
169x^{2}-1014x^{3}=0
Factor the expression
169x^{2}\left(1-6x\right)=0
Divide both sides
x^{2}\left(1-6x\right)=0
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x^{2}=0\\&1-6x=0\end{align}
The only way a power can be 0 is when the base equals 0
\begin{align}&x=0\\&1-6x=0\end{align}
Solve the equation
More Steps
Evaluate
1-6x=0
Move the constant to the right-hand side and change its sign
-6x=0-1
Removing 0 doesn't change the value,so remove it from the expression
-6x=-1
Change the signs on both sides of the equation
6x=1
Divide both sides
\frac{6x}{6}=\frac{1}{6}
Divide the numbers
x=\frac{1}{6}
\begin{align}&x=0\\&x=\frac{1}{6}\end{align}
Solution
x_{1}=0,x_{2}=\frac{1}{6}
Alternative Form
x_{1}=0,x_{2}=0.1\dot{6}
Show Solutions
