Question
Solve the equation
Solve for c
Solve for h
c=0c=h22c=−h22
Evaluate
2c2h4=c4h6×h2
Multiply
More Steps

Evaluate
c4h6×h2
Multiply the terms with the same base by adding their exponents
c4h6+2
Add the numbers
c4h8
2c2h4=c4h8
Rewrite the expression
2h4c2=h8c4
Add or subtract both sides
2h4c2−h8c4=0
Factor the expression
h4c2(2−h4c2)=0
Divide both sides
c2(2−h4c2)=0
Separate the equation into 2 possible cases
c2=02−h4c2=0
The only way a power can be 0 is when the base equals 0
c=02−h4c2=0
Solution
More Steps

Evaluate
2−h4c2=0
Move the constant to the right-hand side and change its sign
−h4c2=0−2
Removing 0 doesn't change the value,so remove it from the expression
−h4c2=−2
Divide both sides
−h4−h4c2=−h4−2
Divide the numbers
c2=−h4−2
Divide the numbers
c2=h42
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±h42
Simplify the expression
More Steps

Evaluate
h42
To take a root of a fraction,take the root of the numerator and denominator separately
h42
Simplify the radical expression
h22
c=±h22
Separate the equation into 2 possible cases
c=h22c=−h22
c=0c=h22c=−h22
Show Solution
