Question
Solve the equation
(p,t)=(0,−32)
Alternative Form
(p,t)=(0,−0.6˙)
Evaluate
t×1×pit2=t×1×3+2
Multiply the terms
More Steps

Evaluate
t×1×pit2
Rewrite the expression
tpit2
Multiply the terms with the same base by adding their exponents
t1+2pi
Add the numbers
t3pi
Use the commutative property to reorder the terms
it3p
it3p=t×1×3+2
Multiply the terms
More Steps

Evaluate
t×1×3
Rewrite the expression
t×3
Use the commutative property to reorder the terms
3t
it3p=3t+2
Move the expression to the left side
it3p−(3t+2)=0
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
it3p−3t−2=0
Rewrite the expression
−3t+t3pi=2
Rewrite the expression
{−3t=2t3p=0
Solve the equation for t
More Steps

Evaluate
−3t=2
Change the signs on both sides of the equation
3t=−2
Divide both sides
33t=3−2
Divide the numbers
t=3−2
Use b−a=−ba=−ba to rewrite the fraction
t=−32
{t=−32t3p=0
Substitute the given value of t into the equation t3p=0
(−32)3p=0
Simplify
More Steps

Evaluate
(−32)3p
A negative base raised to an odd power equals a negative
−(32)3p
Evaluate the power
More Steps

Evaluate
(32)3
To raise a fraction to a power,raise the numerator and denominator to that power
3323
Evaluate the power
338
Evaluate the power
278
−278p
−278p=0
Change the signs on both sides of the equation
278p=0
Rewrite the expression
p=0
Calculate
{p=0t=−32
Solution
(p,t)=(0,−32)
Alternative Form
(p,t)=(0,−0.6˙)
Show Solution
