-3x^2-14x-16=0

Simple and best practice solution for -3x^2-14x-16=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^2-14x-16=0 equation: 


Simplifying
-3x2 + -14x + -16 = 0

Reorder the terms:
-16 + -14x + -3x2 = 0

Solving
-16 + -14x + -3x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(16 + 14x + 3x2) = 0

Factor a trinomial.
-1((8 + 3x)(2 + x)) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(8 + 3x)' equal to zero and attempt to solve:

Simplifying
8 + 3x = 0

Solving
8 + 3x = 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 + 3x = 0 + -8

Combine like terms: 8 + -8 = 0
0 + 3x = 0 + -8
3x = 0 + -8

Combine like terms: 0 + -8 = -8
3x = -8

Divide each side by '3'.
x = -2.666666667

Simplifying
x = -2.666666667

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

Simplifying
2 + x = 0

Solving
2 + x = 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 + x = 0 + -2

Combine like terms: 2 + -2 = 0
0 + x = 0 + -2
x = 0 + -2

Combine like terms: 0 + -2 = -2
x = -2

Simplifying
x = -2
Solution
x = {-2.666666667, -2}

See similar equations:

| 50*70= | | 3/5T=15 | | 2n-8=3n-16 | | 3x2/7 | | -24/-12= | | 6x-10=26+3x | | 6x-2-15x-9=4 | | 2=k/12 | | 3*3*(-2)= | | 5x+5x=23 | | (3x-7)(3x+5)= | | 5-3+3=4-3 | | 3*3*2*2= | | 22y-15y-13y=25y+6 | | 4/4+2=4 | | 1+3/5(q-4)=2/5(q+1) | | ab^4-16a=0 | | C-6=35 | | -6k+4=-32 | | 48=6+7x | | -3/(-12)= | | 2k^3+3k+6k+9=0 | | 7=q+24 | | 7x-7=2x+28 | | 19=2x+5 | | 2m-2=6m+4 | | 4m^6-30m^6+36m^4=0 | | -2x+8=-6-9x | | K-17=29 | | -10*11= | | 14v=70 | | -59-(-44)= |

Equations solver categories