SOLUTION: How do you solve: 4h(3h + 2) = h + 12 Thank you!

Question 292499: How do you solve:
4h(3h + 2) = h + 12

Thank you!
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Distribute

Get everything to one side.

Combine like terms.

Solved by pluggable solver: Quadratic Formula

Let's use the quadratic formula to solve for h:

Starting with the general quadratic

the general solution using the quadratic equation is:

So lets solve ( notice , , and )

Plug in a=12, b=7, and c=-12

Square 7 to get 49

Multiply to get

Combine like terms in the radicand (everything under the square root)

Simplify the square root (note: If you need help with simplifying the square root, check out this solver)

Multiply 2 and 12 to get 24

So now the expression breaks down into two parts

or

Lets look at the first part:

Add the terms in the numerator

Divide

So one answer is

Now lets look at the second part:

Subtract the terms in the numerator

Divide

So another answer is

So our solutions are:

or

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