x^2+9x+30=-3x-2

Simple and best practice solution for x^2+9x+30=-3x-2 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 x^2+9x+30=-3x-2 equation: 


Simplifying
x2 + 9x + 30 = -3x + -2

Reorder the terms:
30 + 9x + x2 = -3x + -2

Reorder the terms:
30 + 9x + x2 = -2 + -3x

Solving
30 + 9x + x2 = -2 + -3x

Solving for variable 'x'.

Reorder the terms:
30 + 2 + 9x + 3x + x2 = -2 + -3x + 2 + 3x

Combine like terms: 30 + 2 = 32
32 + 9x + 3x + x2 = -2 + -3x + 2 + 3x

Combine like terms: 9x + 3x = 12x
32 + 12x + x2 = -2 + -3x + 2 + 3x

Reorder the terms:
32 + 12x + x2 = -2 + 2 + -3x + 3x

Combine like terms: -2 + 2 = 0
32 + 12x + x2 = 0 + -3x + 3x
32 + 12x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
32 + 12x + x2 = 0

Factor a trinomial.
(8 + x)(4 + x) = 0


Subproblem 1
Set the factor '(8 + x)' equal to zero and attempt to solve:

Simplifying
8 + x = 0

Solving
8 + x = 0

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

Add '-8' to each side of the equation.
8 + -8 + x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + x = 0 + -8
x = 0 + -8

Combine like terms: 0 + -8 = -8
x = -8

Simplifying
x = -8

Subproblem 2
Set the factor '(4 + x)' equal to zero and attempt to solve:

Simplifying
4 + x = 0

Solving
4 + x = 0

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

Add '-4' to each side of the equation.
4 + -4 + x = 0 + -4

Combine like terms: 4 + -4 = 0
0 + x = 0 + -4
x = 0 + -4

Combine like terms: 0 + -4 = -4
x = -4

Simplifying
x = -4
Solution
x = {-8, -4}

See similar equations:

| 4w+5=2w+15 | | 11*(x+x+1)+35= | | -4x+(-6)=-4x+(-4)-2 | | p^2+8pq+16q^2=0 | | 37-3r=8(2r+7) | | -2x=-3+7x | | 4u-8=64 | | 4559=47(p+10) | | 29.5-5.5x=(3x+3.5) | | 4n-7n=20 | | 19-7x=-2(5x-5) | | 7b-6/5=6b-7/5 | | 2n-6=94 | | -8=2/3x-4 | | 3025=25(p+40) | | -5v+3+7=-28 | | 4y+2+y=2(2y+3) | | 55000=4x-5000+x | | 7(r-2)-8r=-21-r | | 11h=-20+11t | | 3.2x-4=0.8(5-x) | | 10-13p=p-4 | | 34=-6+8(c+7) | | -106=8-2(1-7b) | | 4x(3-2x)(x+8)=0 | | 72z+63= | | -199=6(1-5n)+5 | | 8b+8+4=6b-28-16 | | 18+7d=3(4d+9) | | 10n+2=3 | | 5x+35+3x+61=180 | | 4=7x-17 |

Equations solver categories