Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(q+1)(q+9)
Evaluate
q2+10q+9
Rewrite the expression
q2+(9+1)q+9
Calculate
q2+9q+q+9
Rewrite the expression
q×q+q×9+q+9
Factor out q from the expression
q(q+9)+q+9
Solution
(q+1)(q+9)
Show Solution
Find the roots
q1=−9,q2=−1
Evaluate
q2+10q+9
To find the roots of the expression,set the expression equal to 0
q2+10q+9=0
Factor the expression
More Steps
Evaluate
q2+10q+9
Rewrite the expression
q2+(9+1)q+9
Calculate
q2+9q+q+9
Rewrite the expression
q×q+q×9+q+9
Factor out q from the expression
q(q+9)+q+9
Factor out q+9 from the expression
(q+1)(q+9)
(q+1)(q+9)=0
When the product of factors equals 0,at least one factor is 0
q+1=0q+9=0
Solve the equation for q
More Steps
Evaluate
q+1=0
Move the constant to the right-hand side and change its sign
q=0−1
Removing 0 doesn't change the value,so remove it from the expression
q=−1
q=−1q+9=0
Solve the equation for q
More Steps
Evaluate
q+9=0
Move the constant to the right-hand side and change its sign
q=0−9
Removing 0 doesn't change the value,so remove it from the expression
q=−9
q=−1q=−9
Solution
q1=−9,q2=−1
Show Solution