Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
−16t(t+1)
Evaluate
−16t2−16t
Rewrite the expression
−16t×t−16t
Solution
−16t(t+1)
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Find the roots
t1=−1,t2=0
Evaluate
−16t2−16t
To find the roots of the expression,set the expression equal to 0
−16t2−16t=0
Factor the expression
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Evaluate
−16t2−16t
Rewrite the expression
−16t×t−16t
Factor out −16t from the expression
−16t(t+1)
−16t(t+1)=0
When the product of factors equals 0,at least one factor is 0
−16t=0t+1=0
Solve the equation for t
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Evaluate
−16t=0
Change the signs on both sides of the equation
16t=0
Rewrite the expression
t=0
t=0t+1=0
Solve the equation for t
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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=0t=−1
Solution
t1=−1,t2=0
Show Solution