SOLUTION: when five times the square of in integer is divided by four more than three times the same number,the result is -10. what is the integer?

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Question 1170390: when five times the square of in integer is divided by four more than three times the same number,the result is -10. what is the integer?
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

five times the square of in integer:5x%5E2
is divided by
four more than three times the same number: 3x%2B4
the result is:+-10
put all together:
5x%5E2%2F%283x%2B4%29=-10......solve for x
5x%5E2=-10%283x%2B4%29
5x%5E2=-30x-40
5x%5E2%2B30x%2B40=0...simplify, divide by 5
x%5E2%2B6x%2B8=0......factor
x%5E2%2B2x%2B4x%2B8=0
%28x%5E2%2B2x%29%2B%284x%2B8%29=0
x%28x%2B2%29%2B4%28x%2B2%29=0
%28x+%2B+2%29+%28x+%2B+4%29+=+0
solutions:
x=-2 or x=-4