Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for c
Solve for h
c=0c=42hc=−42h
Evaluate
ch2=c3h×8
Use the commutative property to reorder the terms
ch2=8c3h
Rewrite the expression
h2c=8hc3
Add or subtract both sides
h2c−8hc3=0
Factor the expression
hc(h−8c2)=0
Divide both sides
c(h−8c2)=0
Separate the equation into 2 possible cases
c=0h−8c2=0
Solution
More Steps
Evaluate
h−8c2=0
Move the expression to the right-hand side and change its sign
−8c2=0−h
Removing 0 doesn't change the value,so remove it from the expression
−8c2=−h
Change the signs on both sides of the equation
8c2=h
Divide both sides
88c2=8h
Divide the numbers
c2=8h
Take the root of both sides of the equation and remember to use both positive and negative roots
c=±8h
Simplify the expression
More Steps
Evaluate
8h
To take a root of a fraction,take the root of the numerator and denominator separately
8h
Simplify the radical expression
22h
Multiply by the Conjugate
22×2h×2
Calculate
2×2h×2
Calculate
2×22h
Calculate
42h
c=±42h
Separate the equation into 2 possible cases
c=42hc=−42h
c=0c=42hc=−42h
Show Solution
