3x^2+8x-x^2+3x+12=0

Simple and best practice solution for 3x^2+8x-x^2+3x+12=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 3x^2+8x-x^2+3x+12=0 equation:


Simplifying
3x2 + 8x + -1x2 + 3x + 12 = 0

Reorder the terms:
12 + 8x + 3x + 3x2 + -1x2 = 0

Combine like terms: 8x + 3x = 11x
12 + 11x + 3x2 + -1x2 = 0

Combine like terms: 3x2 + -1x2 = 2x2
12 + 11x + 2x2 = 0

Solving
12 + 11x + 2x2 = 0

Solving for variable 'x'.

Factor a trinomial.
(4 + x)(3 + 2x) = 0

Subproblem 1

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

Subproblem 2

Set the factor '(3 + 2x)' equal to zero and attempt to solve: Simplifying 3 + 2x = 0 Solving 3 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2x = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = 0 + -3 2x = 0 + -3 Combine like terms: 0 + -3 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5

Solution

x = {-4, -1.5}

See similar equations:

| x-2/3= | | 0.2x+0.6y=-0.4 | | 27.50/x=23.25/17 | | 45*x=100 | | 3a^2+4a-2a^2+2a+9=0 | | x=(12/5/2*10/6)(12/5/2*10/6) | | 6y^2+12y+13-2y^2-4=0 | | (4z^10)(-2z^2)(z^2)= | | 2x-(x+30)=180 | | 22x+1160=-15x+1900 | | .3(x-3)=5(1.5+x) | | 36*3.14=37.68 | | 6*2*3.14= | | 12x=22x | | .7(2p+3)-8=14p-13 | | 5+21yx=6 | | 5x+11=-7-4x | | 1/6X-5/8X | | X=4(3*4/5/2x10/6)^2 | | 40/100*600 | | 2x+(-x-30)=180 | | (x^2)-16x+73=0 | | 8k+1=7+5k | | 6x=7y-42 | | 5x+3(2x+3)=4(6-x) | | (x^3)-10(x^2)+21x=0 | | -6(x^2)+54=0 | | x=(5*16)+23 | | 1x+4y=21 | | 16x+1=3x-11 | | 0.75x+4.50=1.25x+2.50 | | x=45+8*6+3-7*4 |

Equations solver categories