SOLUTION: I need some help with these two questions please? 1. Solve by factoring and using the principle of zero products. 2x2 = 3x 2. The hypotenuse of a right triangle is 8 feet

Question 207406: I need some help with these two questions please?
1. Solve by factoring and using the principle of zero products.
2x2 = 3x
2. The hypotenuse of a right triangle is 8 feet less than three times the shorter leg and the longer leg is 8 feet more than twice the shorter leg. Find the lengths of the three sides of the triangle.
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
I'll do the first one to get you started.

# 1

Start with the given equation.

Subtract 3x from both sides.

Factor out the GCF 'x'

or Set each factor equal to 0 (using the zero product property)

or For the second equation, add 3 to both sides.

or For the second equation, divide both sides by 2 to isolate 'x'.

So the solutions are or (note: the decimal form of )

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