Question
Solve the equation
Solve for p
Solve for t
p=0p=t−1+t
Evaluate
d×dtp=p−p2
Multiply the terms
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Multiply the terms
d×dtp
Cancel out the common factor d
1×tp
Multiply the terms
tp
tp=p−p2
Multiply both sides of the equation by LCD
tp×t=(p−p2)t
Simplify the equation
p=(p−p2)t
Simplify the equation
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Evaluate
(p−p2)t
Apply the distributive property
pt−p2t
Multiply the terms
tp−p2t
Multiply the terms
tp−tp2
p=tp−tp2
Move the expression to the left side
p−(tp−tp2)=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
p−tp+tp2=0
Factor the expression
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Evaluate
p−tp+tp2
Rewrite the expression
p−pt+ptp
Factor out p from the expression
p(1−t+tp)
p(1−t+tp)=0
When the product of factors equals 0,at least one factor is 0
p=01−t+tp=0
Solution
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Evaluate
1−t+tp=0
Move the expression to the right-hand side and change its sign
tp=0−(1−t)
Subtract the terms
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Evaluate
0−(1−t)
If a negative sign or a subtraction symbol appears outside parentheses, remove the parentheses and change the sign of every term within the parentheses
0−1+t
Removing 0 doesn't change the value,so remove it from the expression
−1+t
tp=−1+t
Divide both sides
ttp=t−1+t
Divide the numbers
p=t−1+t
p=0p=t−1+t
Show Solution
