Type a math problem or upload a photo, screenshot, handwritten question...
error msg
- Algebra
- Calculus
- Trigonometry
- Matrix
- Differential
- Integral
- Trigonometry
- Letters
Question
x^{2}-33x-108
Factor the expression
\left(x-36\right)\left(x+3\right)
Evaluate
x^{2}-33x-108
Rewrite the expression
x^{2}+\left(3-36\right)x-108
Calculate
x^{2}+3x-36x-108
Rewrite the expression
x\times x+x\times 3-36x-36\times 3
\text{Factor out }x\text{ from the expression}
x\left(x+3\right)-36x-36\times 3
\text{Factor out }-36\text{ from the expression}
x\left(x+3\right)-36\left(x+3\right)
Solution
\left(x-36\right)\left(x+3\right)
Show Solutions
Find the roots
x_{1}=-3,x_{2}=36
Evaluate
x^{2}-33x-108
To find the roots of the expression,set the expression equal to 0
x^{2}-33x-108=0
Factor the expression
More Steps
Evaluate
x^{2}-33x-108
Rewrite the expression
x^{2}+\left(3-36\right)x-108
Calculate
x^{2}+3x-36x-108
Rewrite the expression
x\times x+x\times 3-36x-36\times 3
\text{Factor out }x\text{ from the expression}
x\left(x+3\right)-36x-36\times 3
\text{Factor out }-36\text{ from the expression}
x\left(x+3\right)-36\left(x+3\right)
\text{Factor out }x+3\text{ from the expression}
\left(x-36\right)\left(x+3\right)
\left(x-36\right)\left(x+3\right)=0
When the product of factors equals 0,at least one factor is 0
\begin{align}&x-36=0\\&x+3=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
x-36=0
Move the constant to the right-hand side and change its sign
x=0+36
Removing 0 doesn't change the value,so remove it from the expression
x=36
\begin{align}&x=36\\&x+3=0\end{align}
\text{Solve the equation for }x
More Steps
Evaluate
x+3=0
Move the constant to the right-hand side and change its sign
x=0-3
Removing 0 doesn't change the value,so remove it from the expression
x=-3
\begin{align}&x=36\\&x=-3\end{align}
Solution
x_{1}=-3,x_{2}=36
Show Solutions
