3x^2+6x-14=-3x-2

Simple and best practice solution for 3x^2+6x-14=-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 3x^2+6x-14=-3x-2 equation: 


Simplifying
3x2 + 6x + -14 = -3x + -2

Reorder the terms:
-14 + 6x + 3x2 = -3x + -2

Reorder the terms:
-14 + 6x + 3x2 = -2 + -3x

Solving
-14 + 6x + 3x2 = -2 + -3x

Solving for variable 'x'.

Reorder the terms:
-14 + 2 + 6x + 3x + 3x2 = -2 + -3x + 2 + 3x

Combine like terms: -14 + 2 = -12
-12 + 6x + 3x + 3x2 = -2 + -3x + 2 + 3x

Combine like terms: 6x + 3x = 9x
-12 + 9x + 3x2 = -2 + -3x + 2 + 3x

Reorder the terms:
-12 + 9x + 3x2 = -2 + 2 + -3x + 3x

Combine like terms: -2 + 2 = 0
-12 + 9x + 3x2 = 0 + -3x + 3x
-12 + 9x + 3x2 = -3x + 3x

Combine like terms: -3x + 3x = 0
-12 + 9x + 3x2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-4 + 3x + x2) = 0

Factor a trinomial.
3((-4 + -1x)(1 + -1x)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-4 + -1x)' equal to zero and attempt to solve:

Simplifying
-4 + -1x = 0

Solving
-4 + -1x = 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 + -1x = 0 + 4

Combine like terms: -4 + 4 = 0
0 + -1x = 0 + 4
-1x = 0 + 4

Combine like terms: 0 + 4 = 4
-1x = 4

Divide each side by '-1'.
x = -4

Simplifying
x = -4

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

Simplifying
1 + -1x = 0

Solving
1 + -1x = 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 + -1x = 0 + -1

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

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

Divide each side by '-1'.
x = 1

Simplifying
x = 1
Solution
x = {-4, 1}

See similar equations:

| r+7=3 | | 106=2m+15 | | 3x+12+3x=3-(x+9) | | -4x+10=-30 | | 3a+5a-10=6a+24 | | -(6y+3)-(-5y-8)=3 | | x-17x=35.77 | | 1.4g-5.77=8.23+2.2g | | 7+2d=17 | | 10+5x-6=24 | | 6x-84=31+x | | -8x+5x=-7-2x | | 14.81+1.9p=0.1p-17.95 | | 2t-6=10-6 | | d-2+ -5= -2 | | 7-5x=12x+9 | | -10+3f=t-3 | | 5u+27+4u=9 | | xy+9y=3 | | 2w-6=12 | | 54+12x=p | | 0.4-9.2w=-5.15-1.6w-3.9 | | -63=4u-8u-15 | | 30d+12=8d | | 7+4z-2=7z+10-2z | | -5x-6=-31 | | 2a-6=4(3a+1)-4 | | (-2x^2)-32x-128= | | 9+w=-7 | | 3-4=2/5(-1-k) | | 12x+4y+3x+y= | | 54+12x=x |

Equations solver categories