Question

HELP DUE IN 10 MINUTES!!!

Solve the following equation for a. Be sure to take into account whether a letter is capitalized or not.


D = Ga + 3h3a


a =??

Answer 1

`\\ \sf\longmapsto D=Ga+3h^3a`

• Take out a common

`\\ \sf\longmapsto a(G+3h^3)=D`

`\\ \sf\longmapsto a(3h^3)=(D)/(G)`

`\\ \sf\longmapsto a^3=(D)/(3Gh)`

`\\ \sf\longmapsto a=\sqrt{(D)/(3Gh)}`

Answer 2

`\huge \boxed{\mathfrak{Question} \downarrow}`

• D = Ga + 3h³a
• a = ?

`\large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}`

`\sf \: D = Ga+3 { h }^( 3 ) a`

Swap sides so that all variable terms are on the left-hand side.

`\sf \: Ga+3h^(3)a=D`

Combine all terms containing a.

`\sf\left(G+3h^(3)\right)a=D`

Divide both sides by
`\sf\:G+3h^(3)`.

`\sf(\left(G+3h^(3)\right)a)/(G+3h^(3))=(D)/(G+3h^(3)) \\`

Dividing by
`\sf\:G+3h^(3)` undoes the multiplication by
`\sf\:G+3h^(3)`.

`\boxed{ \boxed{ \bf \: a=(D)/(G+3h^(3)) }} \\`