Question
Solve the equation
p1=−62,p2=0,p3=62
Alternative Form
p1≈−0.235702,p2=0,p3≈0.235702
Evaluate
6p3×9=3p
Multiply the terms
54p3=3p
Add or subtract both sides
54p3−3p=0
Factor the expression
3p(18p2−1)=0
Divide both sides
p(18p2−1)=0
Separate the equation into 2 possible cases
p=018p2−1=0
Solve the equation
More Steps

Evaluate
18p2−1=0
Move the constant to the right-hand side and change its sign
18p2=0+1
Removing 0 doesn't change the value,so remove it from the expression
18p2=1
Divide both sides
1818p2=181
Divide the numbers
p2=181
Take the root of both sides of the equation and remember to use both positive and negative roots
p=±181
Simplify the expression
More Steps

Evaluate
181
To take a root of a fraction,take the root of the numerator and denominator separately
181
Simplify the radical expression
181
Simplify the radical expression
321
Multiply by the Conjugate
32×22
Multiply the numbers
62
p=±62
Separate the equation into 2 possible cases
p=62p=−62
p=0p=62p=−62
Solution
p1=−62,p2=0,p3=62
Alternative Form
p1≈−0.235702,p2=0,p3≈0.235702
Show Solution
