# Solve for s 5s^2-11s=12 5s2-11s=12
Move 12 to the left side of the equation by subtracting it from both sides.
5s2-11s-12=0
Factor by grouping.
For a polynomial of the form ax2+bx+c, rewrite the middle term as a sum of two terms whose product is a⋅c=5⋅-12=-60 and whose sum is b=-11.
Factor -11 out of -11s.
5s2-11s-12=0
Rewrite -11 as 4 plus -15
5s2+(4-15)s-12=0
Apply the distributive property.
5s2+4s-15s-12=0
5s2+4s-15s-12=0
Factor out the greatest common factor from each group.
Group the first two terms and the last two terms.
(5s2+4s)-15s-12=0
Factor out the greatest common factor (GCF) from each group.
s(5s+4)-3(5s+4)=0
s(5s+4)-3(5s+4)=0
Factor the polynomial by factoring out the greatest common factor, 5s+4.
(5s+4)(s-3)=0
(5s+4)(s-3)=0
If any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
5s+4=0
s-3=0
Set the first factor equal to 0 and solve.
Set the first factor equal to 0.
5s+4=0
Subtract 4 from both sides of the equation.
5s=-4
Divide each term by 5 and simplify.
Divide each term in 5s=-4 by 5.
5s5=-45
Cancel the common factor of 5.
Cancel the common factor.
5s5=-45
Divide s by 1.
s=-45
s=-45
Move the negative in front of the fraction.
s=-45
s=-45
s=-45
Set the next factor equal to 0 and solve.
Set the next factor equal to 0.
s-3=0
Add 3 to both sides of the equation.
s=3
s=3
The final solution is all the values that make (5s+4)(s-3)=0 true.
s=-45,3
The result can be shown in multiple forms.
Exact Form:
s=-45,3
Decimal Form:
s=-0.8,3
Solve for s 5s^2-11s=12

### Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top