Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−(x+1)(x+5)
Evaluate
−x2−6x−5
Factor out −1 from the expression
−(x2+6x+5)
Solution
More Steps
Evaluate
x2+6x+5
Rewrite the expression
x2+(5+1)x+5
Calculate
x2+5x+x+5
Rewrite the expression
x×x+x×5+x+5
Factor out x from the expression
x(x+5)+x+5
Factor out x+5 from the expression
(x+1)(x+5)
−(x+1)(x+5)
Show Solution
Find the roots
x1=−5,x2=−1
Evaluate
−x2−6x−5
To find the roots of the expression,set the expression equal to 0
−x2−6x−5=0
Factor the expression
More Steps
Evaluate
−x2−6x−5
Factor out −1 from the expression
−(x2+6x+5)
Factor the expression
More Steps
Evaluate
x2+6x+5
Rewrite the expression
x2+(5+1)x+5
Calculate
x2+5x+x+5
Rewrite the expression
x×x+x×5+x+5
Factor out x from the expression
x(x+5)+x+5
Factor out x+5 from the expression
(x+1)(x+5)
−(x+1)(x+5)
−(x+1)(x+5)=0
Divide the terms
(x+1)(x+5)=0
When the product of factors equals 0,at least one factor is 0
x+1=0x+5=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=−1x+5=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=−1x=−5
Solution
x1=−5,x2=−1
Show Solution