Multiply both sides of the given equation by a number that will eliminate decimals or fractions. Then solve.

Question

anonymous · Answer

$$0.3x ^{2} + 0.2x - 0.1=0$$

anonymous · Answer

That requires finding the least common multiple.

anonymous · Answer

@terenzreignz

anonymous · Answer

okay is that 10?

anonymous · Answer

10 will work.

anonymous · Answer

so I get $$3x^{2} + 2x - 11$$

anonymous · Answer

What is $0.1 \times 10$?

anonymous · Answer

1

anonymous · Answer

Yup.

anonymous · Answer

so i get $$3x^{2} + 2x - 1=10$$

anonymous · Answer

Then what?

mathmale · Answer

Good.  Now consolidate all terms on the left side of this equation.
Try factoring.  If that proves to be difficult, try the quadratic formula to identify the roots and then write the factors.

anonymous · Answer

The furthest I got was then.. $$3x^{2} + 2x - 11=0$$

anonymous · Answer

and i couldnt factor any further... no numbers will fit ... (3x,?)(x,?)

mathmale · Answer

Whoa.  Sorry.  Multiplying your original equation, 0.3x2+0.2x−0.1=0, by 10, will result in 3x^2 + 2x -1 = 0, not 3x^2 + 2x -11 = 0  Please go back and verify this.

So, we're attempting to solve 3x^2 + 2x -1 = 0.

I'd suggest factoring.

The quadratic formula would be an alternative tool for factoring.

anonymous · Answer

don't we have to multiply 0 by ten? It says to multiply both sides of the equation by a number that will eliminate decimals or fractions...

anonymous · Answer

wait nevermind... 0 X 10= 0... not 10 lol.

mathmale · Answer

Again, try solving 3x^2 + 2x -1 = 0.  I'd recommend factoring.