2u^2+16u+30=u^2+9+6u

Simple and best practice solution for 2u^2+16u+30=u^2+9+6u 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 2u^2+16u+30=u^2+9+6u equation: 


Simplifying
2u2 + 16u + 30 = u2 + 9 + 6u

Reorder the terms:
30 + 16u + 2u2 = u2 + 9 + 6u

Reorder the terms:
30 + 16u + 2u2 = 9 + 6u + u2

Solving
30 + 16u + 2u2 = 9 + 6u + u2

Solving for variable 'u'.

Reorder the terms:
30 + -9 + 16u + -6u + 2u2 + -1u2 = 9 + 6u + u2 + -9 + -6u + -1u2

Combine like terms: 30 + -9 = 21
21 + 16u + -6u + 2u2 + -1u2 = 9 + 6u + u2 + -9 + -6u + -1u2

Combine like terms: 16u + -6u = 10u
21 + 10u + 2u2 + -1u2 = 9 + 6u + u2 + -9 + -6u + -1u2

Combine like terms: 2u2 + -1u2 = 1u2
21 + 10u + 1u2 = 9 + 6u + u2 + -9 + -6u + -1u2

Reorder the terms:
21 + 10u + 1u2 = 9 + -9 + 6u + -6u + u2 + -1u2

Combine like terms: 9 + -9 = 0
21 + 10u + 1u2 = 0 + 6u + -6u + u2 + -1u2
21 + 10u + 1u2 = 6u + -6u + u2 + -1u2

Combine like terms: 6u + -6u = 0
21 + 10u + 1u2 = 0 + u2 + -1u2
21 + 10u + 1u2 = u2 + -1u2

Combine like terms: u2 + -1u2 = 0
21 + 10u + 1u2 = 0

Factor a trinomial.
(7 + u)(3 + u) = 0


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

Simplifying
7 + u = 0

Solving
7 + u = 0

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

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

Combine like terms: 7 + -7 = 0
0 + u = 0 + -7
u = 0 + -7

Combine like terms: 0 + -7 = -7
u = -7

Simplifying
u = -7

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

Simplifying
3 + u = 0

Solving
3 + u = 0

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

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

Combine like terms: 3 + -3 = 0
0 + u = 0 + -3
u = 0 + -3

Combine like terms: 0 + -3 = -3
u = -3

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

See similar equations:

| 2u^2+16u+30=u^2+9 | | 73+(-91)= | | 3y-7-5y=-3 | | 3y-7-57=-3 | | 7p-2=-9 | | -5y+9=24 | | 9m-11=7 | | 2k+8=16 | | -7+(-8)= | | (x+8)(x-5)=0 | | 5a+(5b-2a)=a-5b | | 9x+7=-65 | | 8n-13=43+n | | -8x=-216 | | 3x^2-2x=9-8x | | 6y+20-3y= | | -8*(-5)*(-3)= | | -10s+2j-6s= | | 5=3+x | | 4y^3-4y^2+3-y= | | 5y-10+y+27=6y+20-3y | | h-5=23 | | 55=6-7x | | 10x+3=21x-3(x-3) | | 5=4x+2 | | 7=9+5x | | 2n-3=-9 | | -10s+12j-16s-8*(-5)*(-3)= | | 4n+2.3=7.5 | | 7x^2-39x+2=0 | | y=bt-c | | 6-n=11 |

Equations solver categories