Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(t−5)(t+3)
Evaluate
t2−2t−15
Rewrite the expression
t2+(3−5)t−15
Calculate
t2+3t−5t−15
Rewrite the expression
t×t+t×3−5t−5×3
Factor out t from the expression
t(t+3)−5t−5×3
Factor out −5 from the expression
t(t+3)−5(t+3)
Solution
(t−5)(t+3)
Show Solution
Find the roots
t1=−3,t2=5
Evaluate
t2−2t−15
To find the roots of the expression,set the expression equal to 0
t2−2t−15=0
Factor the expression
More Steps
Evaluate
t2−2t−15
Rewrite the expression
t2+(3−5)t−15
Calculate
t2+3t−5t−15
Rewrite the expression
t×t+t×3−5t−5×3
Factor out t from the expression
t(t+3)−5t−5×3
Factor out −5 from the expression
t(t+3)−5(t+3)
Factor out t+3 from the expression
(t−5)(t+3)
(t−5)(t+3)=0
When the product of factors equals 0,at least one factor is 0
t−5=0t+3=0
Solve the equation for t
More Steps
Evaluate
t−5=0
Move the constant to the right-hand side and change its sign
t=0+5
Removing 0 doesn't change the value,so remove it from the expression
t=5
t=5t+3=0
Solve the equation for t
More Steps
Evaluate
t+3=0
Move the constant to the right-hand side and change its sign
t=0−3
Removing 0 doesn't change the value,so remove it from the expression
t=−3
t=5t=−3
Solution
t1=−3,t2=5
Show Solution