x^2+3x+2=12

Simple and best practice solution for x^2+3x+2=12 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+2=12 equation:


Simplifying
x2 + 3x + 2 = 12

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

Solving
2 + 3x + x2 = 12

Solving for variable 'x'.

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

Combine like terms: 2 + -12 = -10
-10 + 3x + x2 = 12 + -12

Combine like terms: 12 + -12 = 0
-10 + 3x + x2 = 0

Factor a trinomial.
(-5 + -1x)(2 + -1x) = 0

Subproblem 1

Set the factor '(-5 + -1x)' equal to zero and attempt to solve: Simplifying -5 + -1x = 0 Solving -5 + -1x = 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 + -1x = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -1x = 0 + 5 -1x = 0 + 5 Combine like terms: 0 + 5 = 5 -1x = 5 Divide each side by '-1'. x = -5 Simplifying x = -5

Subproblem 2

Set the factor '(2 + -1x)' equal to zero and attempt to solve: Simplifying 2 + -1x = 0 Solving 2 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + -1x = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = 0 + -2 -1x = 0 + -2 Combine like terms: 0 + -2 = -2 -1x = -2 Divide each side by '-1'. x = 2 Simplifying x = 2

Solution

x = {-5, 2}

See similar equations:

| 12a=-36 | | w+3w+w+3w=90 | | -5(x+3)=6(x+4) | | 3v^2y^4-48v^2= | | 2x(3w+w)=90 | | 12x-8=6x+10 | | 5(3w+4)+2w=8(w+8)-17 | | -2x-2=-5x+19 | | -3b+1=7 | | 11p+11+5p=45 | | -2x+1=-x+4 | | 13z+22+8z=71 | | 57+1x=64 | | 6x-5=-x+16 | | 100-1x=40 | | M+20=2m | | 5c^2-5c=0 | | 100-x=40/2 | | 4(p-2q)=3p+2 | | 3/8-m=10 | | 2y^2-2x^4y^2= | | 8x-10=x+32 | | -4x+2(x-3)=10 | | 4x+x-y=2 | | 6x+27=9-12 | | -5+x=22 | | 2u^3v^4-32u^3= | | (27x-7)+(-23x-6)= | | 11x=12x^2+12 | | 4(2-3x)=2x+36 | | 4x/11-x=3(x-9) | | 7x-(6x+8)=0 |

Equations solver categories