x^2+3x+8=-3x+3

Simple and best practice solution for x^2+3x+8=-3x+3 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+3x+8=-3x+3 equation: 


Simplifying
x2 + 3x + 8 = -3x + 3

Reorder the terms:
8 + 3x + x2 = -3x + 3

Reorder the terms:
8 + 3x + x2 = 3 + -3x

Solving
8 + 3x + x2 = 3 + -3x

Solving for variable 'x'.

Reorder the terms:
8 + -3 + 3x + 3x + x2 = 3 + -3x + -3 + 3x

Combine like terms: 8 + -3 = 5
5 + 3x + 3x + x2 = 3 + -3x + -3 + 3x

Combine like terms: 3x + 3x = 6x
5 + 6x + x2 = 3 + -3x + -3 + 3x

Reorder the terms:
5 + 6x + x2 = 3 + -3 + -3x + 3x

Combine like terms: 3 + -3 = 0
5 + 6x + x2 = 0 + -3x + 3x
5 + 6x + x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
5 + 6x + x2 = 0

Factor a trinomial.
(5 + x)(1 + x) = 0


Subproblem 1
Set the factor '(5 + x)' equal to zero and attempt to solve:

Simplifying
5 + x = 0

Solving
5 + x = 0

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

Add '-5' to each side of the equation.
5 + -5 + x = 0 + -5

Combine like terms: 5 + -5 = 0
0 + x = 0 + -5
x = 0 + -5

Combine like terms: 0 + -5 = -5
x = -5

Simplifying
x = -5

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

Simplifying
1 + x = 0

Solving
1 + x = 0

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

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

Combine like terms: 1 + -1 = 0
0 + x = 0 + -1
x = 0 + -1

Combine like terms: 0 + -1 = -1
x = -1

Simplifying
x = -1
Solution
x = {-5, -1}

See similar equations:

| 687u+78745=234556 | | 6h-15= | | 3x-1/5x-4=2/3 | | 1.12+2.13= | | x^2-3x+4.5=8.5 | | 7b^3=63b | | 10+3=y | | 4a+2b+c=721 | | y-5=-5(x-1) | | 3a+2b-2a-b= | | x^4+25x^2y^2= | | 67u-9876=99 | | 11b+6=-71 | | -8x+5y=34 | | 8(5)=4(5)+20 | | -8x-7y=10 | | -3(t-3)+7t=9t-3 | | -3=7(y-(9/7)) | | x^2+8x+12y+28=0 | | 0.40x+0.10(160)=0.20(124) | | 0.5m+14=74 | | 2x*x-6=0 | | 4x-13=-29-3x | | -4.5x-2=-4.3x+2 | | x^2+3x-3x+8=3 | | 20+30+x=180 | | -4.5x-2=-4.3+2 | | (-1/3)=(j/4)-(10/3) | | (5v-4)(6v+6)= | | b^2+6b-56=0 | | 6(-3v+1)=5r-19 | | x-4=58 |

Equations solver categories