Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
(t−7)(t+2)
Evaluate
t2−5t−14
Rewrite the expression
t2+(2−7)t−14
Calculate
t2+2t−7t−14
Rewrite the expression
t×t+t×2−7t−7×2
Factor out t from the expression
t(t+2)−7t−7×2
Factor out −7 from the expression
t(t+2)−7(t+2)
Solution
(t−7)(t+2)
Show Solution
Find the roots
t1=−2,t2=7
Evaluate
t2−5t−14
To find the roots of the expression,set the expression equal to 0
t2−5t−14=0
Factor the expression
More Steps
Evaluate
t2−5t−14
Rewrite the expression
t2+(2−7)t−14
Calculate
t2+2t−7t−14
Rewrite the expression
t×t+t×2−7t−7×2
Factor out t from the expression
t(t+2)−7t−7×2
Factor out −7 from the expression
t(t+2)−7(t+2)
Factor out t+2 from the expression
(t−7)(t+2)
(t−7)(t+2)=0
When the product of factors equals 0,at least one factor is 0
t−7=0t+2=0
Solve the equation for t
More Steps
Evaluate
t−7=0
Move the constant to the right-hand side and change its sign
t=0+7
Removing 0 doesn't change the value,so remove it from the expression
t=7
t=7t+2=0
Solve the equation for t
More Steps
Evaluate
t+2=0
Move the constant to the right-hand side and change its sign
t=0−2
Removing 0 doesn't change the value,so remove it from the expression
t=−2
t=7t=−2
Solution
t1=−2,t2=7
Show Solution