Algebra
Calculus
Trigonometry
Matrix
Question
Solve the system of equations
t=0
Evaluate
{0=64t64t=16t2
Calculate
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Evaluate
0=64t
Swap the sides of the equation
64t=0
Rewrite the expression
t=0
{t=064t=16t2
Calculate
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Evaluate
64t=16t2
Add or subtract both sides
64t−16t2=0
Factor the expression
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Evaluate
64t−16t2
Rewrite the expression
16t×4−16t×t
Factor out 16t from the expression
16t(4−t)
16t(4−t)=0
When the product of factors equals 0,at least one factor is 0
16t=04−t=0
Solve the equation for t
t=04−t=0
Solve the equation for t
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Evaluate
4−t=0
Move the constant to the right-hand side and change its sign
−t=0−4
Removing 0 doesn't change the value,so remove it from the expression
−t=−4
Change the signs on both sides of the equation
t=4
t=0t=4
Calculate
t=0∪t=4
{t=0t=0∪t=4
Find the intersection
t=0
Solution
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Check the solution
{0=64×064×0=16×02
Simplify
{0=00=0
Evaluate
true
t=0
Show Solution
