Question
Factor the expression
Factor
(t−1)(t+19)
Evaluate
t2+18t−19
Rewrite the expression
t2+(19−1)t−19
Calculate
t2+19t−t−19
Rewrite the expression
t×t+t×19−t−19
Factor out t from the expression
t(t+19)−t−19
Factor out −1 from the expression
t(t+19)−(t+19)
Solution
(t−1)(t+19)
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Find the roots
Find the roots of the algebra expression
t1=−19,t2=1
Evaluate
t2+18t−19
To find the roots of the expression,set the expression equal to 0
t2+18t−19=0
Factor the expression
More Steps
Evaluate
t2+18t−19
Rewrite the expression
t2+(19−1)t−19
Calculate
t2+19t−t−19
Rewrite the expression
t×t+t×19−t−19
Factor out t from the expression
t(t+19)−t−19
Factor out −1 from the expression
t(t+19)−(t+19)
Factor out t+19 from the expression
(t−1)(t+19)
(t−1)(t+19)=0
When the product of factors equals 0,at least one factor is 0
t−1=0t+19=0
Solve the equation for t
More Steps
Evaluate
t−1=0
Move the constant to the right-hand side and change its sign
t=0+1
Removing 0 doesn't change the value,so remove it from the expression
t=1
t=1t+19=0
Solve the equation for t
More Steps
Evaluate
t+19=0
Move the constant to the right-hand side and change its sign
t=0−19
Removing 0 doesn't change the value,so remove it from the expression
t=−19
t=1t=−19
Solution
t1=−19,t2=1
Show Solution