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Question
x^{2}-6x\times 8
Simplify the expression
x^{2}-48x
Evaluate
x^{2}-6x\times 8
Solution
x^{2}-48x
Show Solutions
Factor the expression
x\left(x-48\right)
Evaluate
x^{2}-6x\times 8
Multiply the terms
x^{2}-48x
Rewrite the expression
x\times x-x\times 48
Solution
x\left(x-48\right)
Show Solutions
Find the roots
x_{1}=0,x_{2}=48
Evaluate
x^{2}-6x\times 8
To find the roots of the expression,set the expression equal to 0
x^{2}-6x\times 8=0
Multiply the terms
x^{2}-48x=0
Factor the expression
More Steps
Evaluate
x^{2}-48x
Rewrite the expression
x\times x-x\times 48
\text{Factor out }x\text{ from the expression}
x\left(x-48\right)
x\left(x-48\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&x=0\\&x-48=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
x-48=0
Move the constant to the right-hand side and change its sign
x=0+48
Removing 0 doesn't change the value,so remove it from the expression
x=48
\begin{align}&x=0\\&x=48\end{align}
Solution
x_{1}=0,x_{2}=48
Show Solutions
