Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x−5)(x+1)
Evaluate
x2−4x−5
Rewrite the expression
x2+(1−5)x−5
Calculate
x2+x−5x−5
Rewrite the expression
x×x+x−5x−5
Factor out x from the expression
x(x+1)−5x−5
Factor out −5 from the expression
x(x+1)−5(x+1)
Solution
(x−5)(x+1)
Show Solution
Find the roots
x1=−1,x2=5
Evaluate
x2−4x−5
To find the roots of the expression,set the expression equal to 0
x2−4x−5=0
Factor the expression
More Steps
Evaluate
x2−4x−5
Rewrite the expression
x2+(1−5)x−5
Calculate
x2+x−5x−5
Rewrite the expression
x×x+x−5x−5
Factor out x from the expression
x(x+1)−5x−5
Factor out −5 from the expression
x(x+1)−5(x+1)
Factor out x+1 from the expression
(x−5)(x+1)
(x−5)(x+1)=0
When the product of factors equals 0,at least one factor is 0
x−5=0x+1=0
Solve the equation for x
More Steps
Evaluate
x−5=0
Move the constant to the right-hand side and change its sign
x=0+5
Removing 0 doesn't change the value,so remove it from the expression
x=5
x=5x+1=0
Solve the equation for x
More Steps
Evaluate
x+1=0
Move the constant to the right-hand side and change its sign
x=0−1
Removing 0 doesn't change the value,so remove it from the expression
x=−1
x=5x=−1
Solution
x1=−1,x2=5
Show Solution