Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
72-2x^{2}
Factor the expression
2\left(6-x\right)\left(6+x\right)
Evaluate
72-2x^{2}
\text{Factor out }2\text{ from the expression}
2\left(36-x^{2}\right)
Solution
More Steps
Evaluate
36-x^{2}
Rewrite the expression in exponential form
6^{2}-x^{2}
\text{Use }a^2-b^2=(a-b)(a+b)\text{ to factor the expression}
\left(6-x\right)\left(6+x\right)
2\left(6-x\right)\left(6+x\right)
Show Solutions
Find the roots
x_{1}=-6,x_{2}=6
Evaluate
72-2x^{2}
To find the roots of the expression,set the expression equal to 0
72-2x^{2}=0
Move the constant to the right-hand side and change its sign
-2x^{2}=0-72
Removing 0 doesn't change the value,so remove it from the expression
-2x^{2}=-72
Change the signs on both sides of the equation
2x^{2}=72
Divide both sides
\frac{2x^{2}}{2}=\frac{72}{2}
Divide the numbers
x^{2}=\frac{72}{2}
Divide the numbers
More Steps
Evaluate
\frac{72}{2}
Reduce the numbers
\frac{36}{1}
Calculate
36
x^{2}=36
Take the root of both sides of the equation and remember to use both positive and negative roots
x=\pm \sqrt{36}
Simplify the expression
More Steps
Evaluate
\sqrt{36}
\text{Write the number in exponential form with the base of }6
\sqrt{6^{2}}
\text{Reduce the index of the radical and exponent with }2
6
x=\pm 6
\text{Separate the equation into }2\text{ possible cases}
\begin{align}&x=6\\&x=-6\end{align}
Solution
x_{1}=-6,x_{2}=6
Show Solutions
