(U^2+8u+15)(6u-24)=0

Simple and best practice solution for (U^2+8u+15)(6u-24)=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 (U^2+8u+15)(6u-24)=0 equation: 


Simplifying
(U2 + 8u + 15)(6u + -24) = 0

Reorder the terms:
(15 + U2 + 8u)(6u + -24) = 0

Reorder the terms:
(15 + U2 + 8u)(-24 + 6u) = 0

Multiply (15 + U2 + 8u) * (-24 + 6u)
(15(-24 + 6u) + U2(-24 + 6u) + 8u * (-24 + 6u)) = 0
((-24 * 15 + 6u * 15) + U2(-24 + 6u) + 8u * (-24 + 6u)) = 0
((-360 + 90u) + U2(-24 + 6u) + 8u * (-24 + 6u)) = 0
(-360 + 90u + (-24 * U2 + 6u * U2) + 8u * (-24 + 6u)) = 0
(-360 + 90u + (-24U2 + 6uU2) + 8u * (-24 + 6u)) = 0
(-360 + 90u + -24U2 + 6uU2 + (-24 * 8u + 6u * 8u)) = 0
(-360 + 90u + -24U2 + 6uU2 + (-192u + 48u2)) = 0

Reorder the terms:
(-360 + -24U2 + 90u + -192u + 6uU2 + 48u2) = 0

Combine like terms: 90u + -192u = -102u
(-360 + -24U2 + -102u + 6uU2 + 48u2) = 0

Solving
-360 + -24U2 + -102u + 6uU2 + 48u2 = 0

Solving for variable 'U'.

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

Add '360' to each side of the equation.
-360 + -24U2 + -102u + 6uU2 + 360 + 48u2 = 0 + 360

Reorder the terms:
-360 + 360 + -24U2 + -102u + 6uU2 + 48u2 = 0 + 360

Combine like terms: -360 + 360 = 0
0 + -24U2 + -102u + 6uU2 + 48u2 = 0 + 360
-24U2 + -102u + 6uU2 + 48u2 = 0 + 360

Combine like terms: 0 + 360 = 360
-24U2 + -102u + 6uU2 + 48u2 = 360

Add '102u' to each side of the equation.
-24U2 + -102u + 6uU2 + 102u + 48u2 = 360 + 102u

Reorder the terms:
-24U2 + -102u + 102u + 6uU2 + 48u2 = 360 + 102u

Combine like terms: -102u + 102u = 0
-24U2 + 0 + 6uU2 + 48u2 = 360 + 102u
-24U2 + 6uU2 + 48u2 = 360 + 102u

Add '-48u2' to each side of the equation.
-24U2 + 6uU2 + 48u2 + -48u2 = 360 + 102u + -48u2

Combine like terms: 48u2 + -48u2 = 0
-24U2 + 6uU2 + 0 = 360 + 102u + -48u2
-24U2 + 6uU2 = 360 + 102u + -48u2

Reorder the terms:
-360 + -24U2 + -102u + 6uU2 + 48u2 = 360 + 102u + -48u2 + -360 + -102u + 48u2

Reorder the terms:
-360 + -24U2 + -102u + 6uU2 + 48u2 = 360 + -360 + 102u + -102u + -48u2 + 48u2

Combine like terms: 360 + -360 = 0
-360 + -24U2 + -102u + 6uU2 + 48u2 = 0 + 102u + -102u + -48u2 + 48u2
-360 + -24U2 + -102u + 6uU2 + 48u2 = 102u + -102u + -48u2 + 48u2

Combine like terms: 102u + -102u = 0
-360 + -24U2 + -102u + 6uU2 + 48u2 = 0 + -48u2 + 48u2
-360 + -24U2 + -102u + 6uU2 + 48u2 = -48u2 + 48u2

Combine like terms: -48u2 + 48u2 = 0
-360 + -24U2 + -102u + 6uU2 + 48u2 = 0

Factor out the Greatest Common Factor (GCF), '6'.
6(-60 + -4U2 + -17u + uU2 + 8u2) = 0

Ignore the factor 6.

Subproblem 1
Set the factor '(-60 + -4U2 + -17u + uU2 + 8u2)' equal to zero and attempt to solve:

Simplifying
-60 + -4U2 + -17u + uU2 + 8u2 = 0

Solving
-60 + -4U2 + -17u + uU2 + 8u2 = 0

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

Add '60' to each side of the equation.
-60 + -4U2 + -17u + uU2 + 60 + 8u2 = 0 + 60

Reorder the terms:
-60 + 60 + -4U2 + -17u + uU2 + 8u2 = 0 + 60

Combine like terms: -60 + 60 = 0
0 + -4U2 + -17u + uU2 + 8u2 = 0 + 60
-4U2 + -17u + uU2 + 8u2 = 0 + 60

Combine like terms: 0 + 60 = 60
-4U2 + -17u + uU2 + 8u2 = 60

Add '17u' to each side of the equation.
-4U2 + -17u + uU2 + 17u + 8u2 = 60 + 17u

Reorder the terms:
-4U2 + -17u + 17u + uU2 + 8u2 = 60 + 17u

Combine like terms: -17u + 17u = 0
-4U2 + 0 + uU2 + 8u2 = 60 + 17u
-4U2 + uU2 + 8u2 = 60 + 17u

Add '-8u2' to each side of the equation.
-4U2 + uU2 + 8u2 + -8u2 = 60 + 17u + -8u2

Combine like terms: 8u2 + -8u2 = 0
-4U2 + uU2 + 0 = 60 + 17u + -8u2
-4U2 + uU2 = 60 + 17u + -8u2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 9-5x=27+7x | | x+(3x+12)+(4x-8)=180 | | 84/14x9/18= | | 4p^2+8p+4=0 | | 3(x+4)+2(x-5)=6x-(x-2) | | 6x-3=5x-1 | | 16-6q=q+7 | | 6(c-4)=4c-18 | | logx*100=6 | | 16m-3(4m+7)=3m-(12-m) | | 4x^2+5+12x=0 | | 3k^2-7k+2=0 | | 6d+7=5+6d | | 7m+4m+e= | | 8(x+7)-(5x-2)=9 | | 7(4x-8)=7(4+x) | | 8g-24=24 | | 6m^2-13mn-5n^2= | | 0.2m-6=6+0.2m | | 3x^2-35x+50=0 | | 3(3-y)+5(3-y)=6 | | 2/3(30)-9= | | 5z-43=z+80 | | 5v^2+26v+24=0 | | 10ab-2a+6b-12=0 | | -2n+1=1-2n | | 4s(8s+1)=0 | | 2x+6=2x-14 | | 11.9=-3x+5 | | 3/4y=10 | | 8m+44=4 | | x/4-8-42 |

Equations solver categories