3x^2+16x+25=0

Simple and best practice solution for 3x^2+16x+25=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+25=0 equation: 


Simplifying
3x2 + 16x + 25 = 0

Reorder the terms:
25 + 16x + 3x2 = 0

Solving
25 + 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'.
8.333333333 + 5.333333333x + x2 = 0

Move the constant term to the right:

Add '-8.333333333' to each side of the equation.
8.333333333 + 5.333333333x + -8.333333333 + x2 = 0 + -8.333333333

Reorder the terms:
8.333333333 + -8.333333333 + 5.333333333x + x2 = 0 + -8.333333333

Combine like terms: 8.333333333 + -8.333333333 = 0.000000000
0.000000000 + 5.333333333x + x2 = 0 + -8.333333333
5.333333333x + x2 = 0 + -8.333333333

Combine like terms: 0 + -8.333333333 = -8.333333333
5.333333333x + x2 = -8.333333333

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 = -8.333333333 + 7.111111113

Reorder the terms:
7.111111113 + 5.333333333x + x2 = -8.333333333 + 7.111111113

Combine like terms: -8.333333333 + 7.111111113 = -1.22222222
7.111111113 + 5.333333333x + x2 = -1.22222222

Factor a perfect square on the left side:
(x + 2.666666667)(x + 2.666666667) = -1.22222222

Can't calculate square root of the right side.

The solution to this equation could not be determined.

See similar equations:

| (x-1)(y-1)=25 | | 3.60x+45=4.60x | | x-0.29=448.01 | | -5y=9-3*1 | | -4.88x-5.7=2(-3.41x)+1.2 | | 4x=7.85 | | 5(3x+2)+5=15x+15 | | 2w+4x=-7 | | 145=1-9p | | 3x^3-2x-75=0 | | -5y=8-3*1 | | 49+x-49=63-49 | | -2(8a+10b)=30c | | 9x+2x=77 | | -5y=9-3*0 | | 55-11x=-3x+4.2 | | -6(-7a+5)=12 | | 6d-3d+2=5d | | -1=2+b-2 | | -5y=8-3*0 | | 6(m+-1)=10 | | =5x^3-20x^2+5x | | 8(5+5)=10 | | 20.50x+185.00+343.00=1040.50 | | -12-3x=-24+6x | | 7n+7n=126 | | 13+(-21)+16= | | -6(-5+6b)=138 | | -.8x=32 | | 49+x-49=56+49 | | 60-3D+2d=35 | | 5(2k-6)-3e=21 |

Equations solver categories