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Question
3x^{2}-48
Factor the expression
3\left(x-4\right)\left(x+4\right)
Evaluate
3x^{2}-48
\text{Factor out }3\text{ from the expression}
3\left(x^{2}-16\right)
Solution
More Steps
Evaluate
x^{2}-16
Rewrite the expression in exponential form
x^{2}-4^{2}
\text{Use }a^2-b^2=(a-b)(a+b)\text{ to factor the expression}
\left(x-4\right)\left(x+4\right)
3\left(x-4\right)\left(x+4\right)
Show Solutions
Find the roots
x_{1}=-4,x_{2}=4
Evaluate
3x^{2}-48
To find the roots of the expression,set the expression equal to 0
3x^{2}-48=0
Move the constant to the right-hand side and change its sign
3x^{2}=0+48
Removing 0 doesn't change the value,so remove it from the expression
3x^{2}=48
Divide both sides
\frac{3x^{2}}{3}=\frac{48}{3}
Divide the numbers
x^{2}=\frac{48}{3}
Divide the numbers
More Steps
Evaluate
\frac{48}{3}
Reduce the numbers
\frac{16}{1}
Calculate
16
x^{2}=16
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt{16}
Simplify the expression
More Steps
Evaluate
\sqrt{16}
\text{Write the number in exponential form with the base of }4
\sqrt{4^{2}}
\text{Reduce the index of the radical and exponent with }2
4
x=\pm 4
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=4\\&x=-4\end{align}
Solution
x_{1}=-4,x_{2}=4
Show Solutions
