Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(q−19)(q−1)
Evaluate
q2−20q+19
Rewrite the expression
q2+(−1−19)q+19
Calculate
q2−q−19q+19
Rewrite the expression
q×q−q−19q+19
Factor out q from the expression
q(q−1)−19q+19
Factor out −19 from the expression
q(q−1)−19(q−1)
Solution
(q−19)(q−1)
Show Solution
Find the roots
q1=1,q2=19
Evaluate
q2−20q+19
To find the roots of the expression,set the expression equal to 0
q2−20q+19=0
Factor the expression
More Steps
Evaluate
q2−20q+19
Rewrite the expression
q2+(−1−19)q+19
Calculate
q2−q−19q+19
Rewrite the expression
q×q−q−19q+19
Factor out q from the expression
q(q−1)−19q+19
Factor out −19 from the expression
q(q−1)−19(q−1)
Factor out q−1 from the expression
(q−19)(q−1)
(q−19)(q−1)=0
When the product of factors equals 0,at least one factor is 0
q−19=0q−1=0
Solve the equation for q
More Steps
Evaluate
q−19=0
Move the constant to the right-hand side and change its sign
q=0+19
Removing 0 doesn't change the value,so remove it from the expression
q=19
q=19q−1=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=19q=1
Solution
q1=1,q2=19
Show Solution