# Math Help - 1 Quick Factor

1. ## 1 Quick Factor

Solve the equation: 49s^2+84s=-36

2. Originally Posted by mikejones
Solve the equation: $49s^2+84s=-36$

its asking for the solution..is the answer $(7s+6)^2=0$?

Almost. You haven't solved it yet. You just factored it.

$(7s+6)^2=0$

$(7s+6)(7s+6)=0$

$7s+6=0$

$s=-\frac{6}{7}$

This is called a double root.

3. When you solve such an equation, your answer should contain no "s", which is the unknown!
But your answer shows that you've seen the perfect squares. Then you just have to see that 84=2.6.7 and your equation is now:

(7s)² + 2.6.7s + 6² = 0

(7s + 6)²=0

So you have only one solution, which is...