Algebra
Calculus
Trigonometry
Matrix
Question
Factor the expression
2(t+1)(2t−7)
Evaluate
4t2−10t−14
Rewrite the expression
2×2t2−2×5t−2×7
Factor out 2 from the expression
2(2t2−5t−7)
Solution
More Steps
Evaluate
2t2−5t−7
Rewrite the expression
2t2+(−7+2)t−7
Calculate
2t2−7t+2t−7
Rewrite the expression
t×2t−t×7+2t−7
Factor out t from the expression
t(2t−7)+2t−7
Factor out 2t−7 from the expression
(t+1)(2t−7)
2(t+1)(2t−7)
Show Solution
Find the roots
t1=−1,t2=27
Alternative Form
t1=−1,t2=3.5
Evaluate
4t2−10t−14
To find the roots of the expression,set the expression equal to 0
4t2−10t−14=0
Factor the expression
More Steps
Evaluate
4t2−10t−14
Rewrite the expression
2×2t2−2×5t−2×7
Factor out 2 from the expression
2(2t2−5t−7)
Factor the expression
More Steps
Evaluate
2t2−5t−7
Rewrite the expression
2t2+(−7+2)t−7
Calculate
2t2−7t+2t−7
Rewrite the expression
t×2t−t×7+2t−7
Factor out t from the expression
t(2t−7)+2t−7
Factor out 2t−7 from the expression
(t+1)(2t−7)
2(t+1)(2t−7)
2(t+1)(2t−7)=0
Divide the terms
(t+1)(2t−7)=0
When the product of factors equals 0,at least one factor is 0
t+1=02t−7=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=−12t−7=0
Solve the equation for t
More Steps
Evaluate
2t−7=0
Move the constant to the right-hand side and change its sign
2t=0+7
Removing 0 doesn't change the value,so remove it from the expression
2t=7
Divide both sides
22t=27
Divide the numbers
t=27
t=−1t=27
Solution
t1=−1,t2=27
Alternative Form
t1=−1,t2=3.5
Show Solution