Question
Solve the equation
Solve for o
Solve for p
o=0o=∣p∣4p3o=−∣p∣4p3
Evaluate
op=p2o5
Rewrite the expression
po=p2o5
Add or subtract both sides
po−p2o5=0
Factor the expression
po(1−po4)=0
Divide both sides
o(1−po4)=0
Separate the equation into 2 possible cases
o=01−po4=0
Solution
More Steps

Evaluate
1−po4=0
Move the constant to the right-hand side and change its sign
−po4=0−1
Removing 0 doesn't change the value,so remove it from the expression
−po4=−1
Divide both sides
−p−po4=−p−1
Divide the numbers
o4=−p−1
Divide the numbers
o4=p1
Take the root of both sides of the equation and remember to use both positive and negative roots
o=±4p1
Simplify the expression
More Steps

Evaluate
4p1
To take a root of a fraction,take the root of the numerator and denominator separately
4p41
Simplify the radical expression
4p1
Multiply by the Conjugate
4p×4p31×4p3
Calculate
∣p∣1×4p3
Calculate
∣p∣4p3
o=±∣p∣4p3
Separate the equation into 2 possible cases
o=∣p∣4p3o=−∣p∣4p3
o=0o=∣p∣4p3o=−∣p∣4p3
Show Solution
