Question
Solve the equation
c1=−46,c2=0,c3=46
Alternative Form
c1≈−0.612372,c2=0,c3≈0.612372
Evaluate
3c=c3×8
Use the commutative property to reorder the terms
3c=8c3
Add or subtract both sides
3c−8c3=0
Factor the expression
c(3−8c2)=0
Separate the equation into 2 possible cases
c=03−8c2=0
Solve the equation
More Steps

Evaluate
3−8c2=0
Move the constant to the right-hand side and change its sign
−8c2=0−3
Removing 0 doesn't change the value,so remove it from the expression
−8c2=−3
Change the signs on both sides of the equation
8c2=3
Divide both sides
88c2=83
Divide the numbers
c2=83
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±83
Simplify the expression
More Steps

Evaluate
83
To take a root of a fraction,take the root of the numerator and denominator separately
83
Simplify the radical expression
223
Multiply by the Conjugate
22×23×2
Multiply the numbers
22×26
Multiply the numbers
46
c=±46
Separate the equation into 2 possible cases
c=46c=−46
c=0c=46c=−46
Solution
c1=−46,c2=0,c3=46
Alternative Form
c1≈−0.612372,c2=0,c3≈0.612372
Show Solution
