Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(x+5)(x+6)
Evaluate
x2+11x+30
Rewrite the expression
x2+(6+5)x+30
Calculate
x2+6x+5x+30
Rewrite the expression
x×x+x×6+5x+5×6
Factor out x from the expression
x(x+6)+5x+5×6
Factor out 5 from the expression
x(x+6)+5(x+6)
Solution
(x+5)(x+6)
Show Solution
Find the roots
x1=−6,x2=−5
Evaluate
x2+11x+30
To find the roots of the expression,set the expression equal to 0
x2+11x+30=0
Factor the expression
More Steps
Evaluate
x2+11x+30
Rewrite the expression
x2+(6+5)x+30
Calculate
x2+6x+5x+30
Rewrite the expression
x×x+x×6+5x+5×6
Factor out x from the expression
x(x+6)+5x+5×6
Factor out 5 from the expression
x(x+6)+5(x+6)
Factor out x+6 from the expression
(x+5)(x+6)
(x+5)(x+6)=0
When the product of factors equals 0,at least one factor is 0
x+5=0x+6=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+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=−5x=−6
Solution
x1=−6,x2=−5
Show Solution