Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
t∈∅
Alternative Form
No solution
Evaluate
{5t×7−3t3=2t2t=10
Calculate
More Steps
Evaluate
5t×7−3t3=2t
Multiply the terms
35t−3t3=2t
Move the expression to the left side
35t−3t3−2t=0
Subtract the terms
More Steps
Evaluate
35t−2t
Collect like terms by calculating the sum or difference of their coefficients
(35−2)t
Subtract the numbers
33t
33t−3t3=0
Factor the expression
3t(11−t2)=0
Divide both sides
t(11−t2)=0
Separate the equation into 2 possible cases
t=0∪11−t2=0
Solve the equation
More Steps
Evaluate
11−t2=0
Move the constant to the right-hand side and change its sign
−t2=0−11
Removing 0 doesn't change the value,so remove it from the expression
−t2=−11
Change the signs on both sides of the equation
t2=11
Take the root of both sides of the equation and remember to use both positive and negative roots
t=±11
Separate the equation into 2 possible cases
t=11∪t=−11
t=0∪t=11∪t=−11
{t=0∪t=11∪t=−112t=10
Calculate
More Steps
Evaluate
2t=10
Divide both sides
22t=210
Divide the numbers
t=210
Divide the numbers
More Steps
Evaluate
210
Reduce the numbers
15
Calculate
5
t=5
{t=0∪t=11∪t=−11t=5
Solution
t∈∅
Alternative Form
No solution
Show Solution
