solve for x. 4x(x-5)-5x(x-4)=-1

Question

anonymous · Answer

First distribute.
Then combine like terms.
Then solve the quadratic.

anonymous · Answer

ok, 4x-20-5x+20= -1?

anonymous · Answer

Nope.

$$4x(x-5) - 5x(x-4) = -1$$$$4x(x) - 4x(5) - 5x(x) -5x(-4) = -1$$

anonymous · Answer

and continue from there. You have to distribute the 4x to each term.

anonymous · Answer

unless you mean for the x to be multiplication symbol and not a variable.

anonymous · Answer

no the x is not multiplication symbol.... ok im going to try it, ty for the advice i really appreciate it.

anonymous · Answer

Just remember how to distribute:
$$a(b+c) = a(b) + a(c)$$
That's all I did above, just with different values.

anonymous · Answer

ok :)

anonymous · Answer

ok, x = [20 + -√400-4x25)]/2 ????

anonymous · Answer

x =[20 + -√300)] /2

anonymous · Answer

im trying to work it, ill get it im sure.

anonymous · Answer

Not quite right. What did you get for the quadratic after you combined like terms??

anonymous · Answer

x^2+20x - 25 = 0

anonymous · Answer

thanks for the help. ill continue to work at it. it has been over 25 yrs since schooling.