3x^2+16x+32=0

Simple and best practice solution for 3x^2+16x+32=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+16x+32=0 equation: 


Simplifying
3x2 + 16x + 32 = 0

Reorder the terms:
32 + 16x + 3x2 = 0

Solving
32 + 16x + 3x2 = 0

Solving for variable 'x'.

Begin completing the square.  Divide all terms by
3 the coefficient of the squared term: 

Divide each side by '3'.
10.66666667 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '-10.66666667' to each side of the equation.
10.66666667 + 5.333333333x + -10.66666667 + x2 = 0 + -10.66666667

Reorder the terms:
10.66666667 + -10.66666667 + 5.333333333x + x2 = 0 + -10.66666667

Combine like terms: 10.66666667 + -10.66666667 = 0.00000000
0.00000000 + 5.333333333x + x2 = 0 + -10.66666667
5.333333333x + x2 = 0 + -10.66666667

Combine like terms: 0 + -10.66666667 = -10.66666667
5.333333333x + x2 = -10.66666667

The x term is 5.333333333x.  Take half its coefficient (2.666666667).
Square it (7.111111113) and add it to both sides.

Add '7.111111113' to each side of the equation.
5.333333333x + 7.111111113 + x2 = -10.66666667 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = -10.66666667 + 7.111111113

Combine like terms: -10.66666667 + 7.111111113 = -3.555555557
7.111111113 + 5.333333333x + x2 = -3.555555557

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = -3.555555557

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| 5x+2(x+4)-13= | | 8x+50=2 | | 142*3+5x=1176 | | x+0.35x+0.1x=32 | | x+0.45x=32 | | 3a+7=-5ab+b | | x+0.4x=32 | | 0=(-8903.3)+(x)*(6) | | 6h=3h+9 | | 2x-6=.4 | | -2+3+2+3x=9 | | 0=(5)+(x)*(2) | | -2+3*2+3x=8 | | 8=x^4-2x^2 | | 20u-16-34=5u-1-7 | | q+2.7=-.09 | | P(20)=7k-56 | | x+18+3x-20=75 | | 11+(9+16)= | | (3x+2)+31=180 | | x-6+54=75 | | 3(x+4)-4=(x+4)+x | | (6x+4)-(x^2+x-5)= | | 3x+4-2=11 | | (3x+1)=52 | | X^2+15x=550 | | -51+x=17 | | 2(0.3x+3)=-.6(x+10) | | 7x+6x-4x=61+2 | | Y^2(a+x)=x^2(3a-x) | | -2w-14=-14+4+2w | | 175=65+(15+8)w |

Equations solver categories