Algebra
Calculus
Trigonometry
Matrix
Question
Solve the equation
Solve for c
Solve for d
c=−d5
Evaluate
d×38c−2=d×32c−12
Use the commutative property to reorder the terms
38dc−2=d×32c−12
Use the commutative property to reorder the terms
38dc−2=32dc−12
Multiply both sides of the equation by LCM
(38dc−2)×3=(32dc−12)×3
Calculate
More Steps
Evaluate
(38dc−2)×3
Apply the distributive property
38dc×3−2×3
Multiply the numbers
More Steps
Evaluate
38×3
Reduce the numbers
8×1
Simplify
8
8dc−2×3
Multiply the numbers
8dc−6
8dc−6=(32dc−12)×3
Calculate
More Steps
Evaluate
(32dc−12)×3
Apply the distributive property
32dc×3−12×3
Multiply the numbers
More Steps
Evaluate
32×3
Reduce the numbers
2×1
Simplify
2
2dc−12×3
Multiply the numbers
2dc−36
8dc−6=2dc−36
Move the expression to the left side
8dc−6−2dc=−36
Move the expression to the right side
8dc−2dc=−36+6
Add and subtract
More Steps
Evaluate
8dc−2dc
Collect like terms by calculating the sum or difference of their coefficients
(8−2)dc
Subtract the numbers
6dc
6dc=−36+6
Add and subtract
6dc=−30
Divide both sides
6d6dc=6d−30
Divide the numbers
c=6d−30
Solution
More Steps
Evaluate
6d−30
Cancel out the common factor 6
d−5
Use b−a=−ba=−ba to rewrite the fraction
−d5
c=−d5
Show Solution
