Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+1)(x+6)
Evaluate
x2+7x+6
Rewrite the expression
x2+(6+1)x+6
Calculate
x2+6x+x+6
Rewrite the expression
x×x+x×6+x+6
Factor out x from the expression
x(x+6)+x+6
Solution
(x+1)(x+6)
Show Solution
Find the roots
x1=−6,x2=−1
Evaluate
x2+7x+6
To find the roots of the expression,set the expression equal to 0
x2+7x+6=0
Factor the expression
More Steps
Evaluate
x2+7x+6
Rewrite the expression
x2+(6+1)x+6
Calculate
x2+6x+x+6
Rewrite the expression
x×x+x×6+x+6
Factor out x from the expression
x(x+6)+x+6
Factor out x+6 from the expression
(x+1)(x+6)
(x+1)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x+1=0x+6=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+6=0
Solve the equation for x
More Steps
Evaluate
x+6=0
Move the constant to the right-hand side and change its sign
x=0−6
Removing 0 doesn't change the value,so remove it from the expression
x=−6
x=−1x=−6
Solution
x1=−6,x2=−1
Show Solution