Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−16)(x+13)
Evaluate
x2−3x−208
Rewrite the expression
x2+(13−16)x−208
Calculate
x2+13x−16x−208
Rewrite the expression
x×x+x×13−16x−16×13
Factor out x from the expression
x(x+13)−16x−16×13
Factor out −16 from the expression
x(x+13)−16(x+13)
Solution
(x−16)(x+13)
Show Solution
Find the roots
x1=−13,x2=16
Evaluate
x2−3x−208
To find the roots of the expression,set the expression equal to 0
x2−3x−208=0
Factor the expression
More Steps
Evaluate
x2−3x−208
Rewrite the expression
x2+(13−16)x−208
Calculate
x2+13x−16x−208
Rewrite the expression
x×x+x×13−16x−16×13
Factor out x from the expression
x(x+13)−16x−16×13
Factor out −16 from the expression
x(x+13)−16(x+13)
Factor out x+13 from the expression
(x−16)(x+13)
(x−16)(x+13)=0
When the product of factors equals 0,at least one factor is 0
x−16=0x+13=0
Solve the equation for x
More Steps
Evaluate
x−16=0
Move the constant to the right-hand side and change its sign
x=0+16
Removing 0 doesn't change the value,so remove it from the expression
x=16
x=16x+13=0
Solve the equation for x
More Steps
Evaluate
x+13=0
Move the constant to the right-hand side and change its sign
x=0−13
Removing 0 doesn't change the value,so remove it from the expression
x=−13
x=16x=−13
Solution
x1=−13,x2=16
Show Solution