How would i solve this?
(30)(Cm)Δ+(335.5)(4.18)Δ(21)=0
To solve this equation, you need to apply the principles of algebra and perform the necessary operations. Let's break down the steps to solve this equation:
Step 1: Distribute the terms
You have two terms in this equation: (30)(Cm)Δ and (335.5)(4.18)Δ(21). Distribute the factors to simplify the equation further.
(30)(Cm)Δ + (335.5)(4.18)Δ(21) = 0
30CmΔ + (335.5)(4.18)(21)Δ = 0
Step 2: Combine like terms
Now, combine the terms that have the same variable(s), which in this case is Δ.
30CmΔ + (335.5)(4.18)(21)Δ = 0
Step 3: Factor out Δ
Next, factor out Δ from both terms on the left-hand side of the equation.
Δ(30Cm + (335.5)(4.18)(21)) = 0
Step 4: Solve for Δ
Since Δ is common to both terms, it can be canceled out by dividing both sides of the equation by Δ.
30Cm + (335.5)(4.18)(21) = 0
Step 5: Solve for Cm
Now, isolate the term containing Cm and solve for Cm by bringing the remaining terms to the other side of the equation.
30Cm = - (335.5)(4.18)(21)
To solve for Cm, divide both sides of the equation by 30.
Cm = - (335.5)(4.18)(21) / 30
You can now substitute the values of (335.5), (4.18), and (21) into the equation and evaluate it to find the numerical value of Cm.