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Question
75x^{2}-60x\times 12
Simplify the expression
75x^{2}-720x
Evaluate
75x^{2}-60x\times 12
Solution
75x^{2}-720x
Show Solutions
Factor the expression
15x\left(5x-48\right)
Evaluate
75x^{2}-60x\times 12
Multiply the terms
75x^{2}-720x
Rewrite the expression
15x\times 5x-15x\times 48
Solution
15x\left(5x-48\right)
Show Solutions
Find the roots
x_{1}=0,x_{2}=\frac{48}{5}
Alternative Form
x_{1}=0,x_{2}=9.6
Evaluate
75x^{2}-60x\times 12
To find the roots of the expression,set the expression equal to 0
75x^{2}-60x\times 12=0
Multiply the terms
75x^{2}-720x=0
Factor the expression
More Steps
Evaluate
75x^{2}-720x
Rewrite the expression
15x\times 5x-15x\times 48
\text{Factor out }15x\text{ from the expression}
15x\left(5x-48\right)
15x\left(5x-48\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&15x=0\\&5x-48=0\end{align}
\text{Solve the equation for }x
\begin{align}&x=0\\&5x-48=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
5x-48=0
Move the constant to the right-hand side and change its sign
5x=0+48
Removing 0 doesn't change the value,so remove it from the expression
5x=48
Divide both sides
\frac{5x}{5}=\frac{48}{5}
Divide the numbers
x=\frac{48}{5}
\begin{align}&x=0\\&x=\frac{48}{5}\end{align}
Solution
x_{1}=0,x_{2}=\frac{48}{5}
Alternative Form
x_{1}=0,x_{2}=9.6
Show Solutions
