12(s+7)(5s-15)=0

Simple and best practice solution for 12(s+7)(5s-15)=0 equation. Check how easy it is, and learn it for the future. Our solution is simple, and easy to understand, so don`t hesitate to use it as a solution of your homework.

If it's not what You are looking for type in the equation solver your own equation and let us solve it.

Solution for 12(s+7)(5s-15)=0 equation: 


Simplifying
12(s + 7)(5s + -15) = 0

Reorder the terms:
12(7 + s)(5s + -15) = 0

Reorder the terms:
12(7 + s)(-15 + 5s) = 0

Multiply (7 + s) * (-15 + 5s)
12(7(-15 + 5s) + s(-15 + 5s)) = 0
12((-15 * 7 + 5s * 7) + s(-15 + 5s)) = 0
12((-105 + 35s) + s(-15 + 5s)) = 0
12(-105 + 35s + (-15 * s + 5s * s)) = 0
12(-105 + 35s + (-15s + 5s2)) = 0

Combine like terms: 35s + -15s = 20s
12(-105 + 20s + 5s2) = 0
(-105 * 12 + 20s * 12 + 5s2 * 12) = 0
(-1260 + 240s + 60s2) = 0

Solving
-1260 + 240s + 60s2 = 0

Solving for variable 's'.

Factor out the Greatest Common Factor (GCF), '60'.
60(-21 + 4s + s2) = 0

Factor a trinomial.
60((-7 + -1s)(3 + -1s)) = 0

Ignore the factor 60.

Subproblem 1
Set the factor '(-7 + -1s)' equal to zero and attempt to solve:

Simplifying
-7 + -1s = 0

Solving
-7 + -1s = 0

Move all terms containing s to the left, all other terms to the right.

Add '7' to each side of the equation.
-7 + 7 + -1s = 0 + 7

Combine like terms: -7 + 7 = 0
0 + -1s = 0 + 7
-1s = 0 + 7

Combine like terms: 0 + 7 = 7
-1s = 7

Divide each side by '-1'.
s = -7

Simplifying
s = -7

Subproblem 2
Set the factor '(3 + -1s)' equal to zero and attempt to solve:

Simplifying
3 + -1s = 0

Solving
3 + -1s = 0

Move all terms containing s to the left, all other terms to the right.

Add '-3' to each side of the equation.
3 + -3 + -1s = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -1s = 0 + -3
-1s = 0 + -3

Combine like terms: 0 + -3 = -3
-1s = -3

Divide each side by '-1'.
s = 3

Simplifying
s = 3
Solution
s = {-7, 3}

See similar equations:

| x+3y+6x= | | 8(x+6)=9(x-4) | | 40.32=12.6 | | (4x-1)=36 | | 245=9.25 | | 3a+5=2a | | 2y=3x+7 | | 49t^2+2t-20=0 | | -10w+6=-7w+-9 | | 27-3r=4(r+3)-2r | | 6m-2=-20 | | -(2x-5)=-15 | | 5x+(-3)=2(3+x) | | 2(x+2)=3x-6 | | 5g-5=3g+13 | | 0.2(f+15)=15 | | 12-(0.7xc)=7.8 | | 2m+6-m+3= | | 4n+9=11 | | 33-4v=7-5(v-4) | | 5(4+a)=-30 | | x+0.2x=230 | | -2(r-6)+3r=10-2(r+2) | | 16(1.5X)=24X | | -4x-16x+16=-164 | | 2x-.4=1+1.8x | | 6y-9y=13-17 | | 180-4x+6+x+24+2x+4=180 | | 7x^3y-28x^2y^2=0 | | 18-3c=3 | | 2x-4x+8=32 | | 11u+4=15u |

Equations solver categories