SOLUTION: Solve the following equations or inequalities: 3(x+2)-8=4(2-5x)+7 6x^2+7x=5 x^2+5x+7=0

Question 172944: Solve the following equations or inequalities:
3(x+2)-8=4(2-5x)+7
6x^2+7x=5
x^2+5x+7=0
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first two to get you going in the right direction.

# 1

Start with the given equation.

Distribute.

Combine like terms on the left side.

Combine like terms on the right side.

Add to both sides.

Add to both sides.

Combine like terms on the left side.

Combine like terms on the right side.

Divide both sides by to isolate .

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Answer:

So the answer is which approximates to .

# 2

Start with the given equation.

Subtract 5 from both sides.

Notice we have a quadratic equation in the form of where , , and

Let's use the quadratic formula to solve for x

Start with the quadratic formula

Plug in , , and

Square to get .

Multiply to get

Rewrite as

Add to to get

Multiply and to get .

Take the square root of to get .

or Break up the expression.

or Combine like terms.

or Simplify.

So the answers are or

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