(3x+1)(3x+1)+5=0

Simple and best practice solution for (3x+1)(3x+1)+5=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+1)(3x+1)+5=0 equation: 


Simplifying
(3x + 1)(3x + 1) + 5 = 0

Reorder the terms:
(1 + 3x)(3x + 1) + 5 = 0

Reorder the terms:
(1 + 3x)(1 + 3x) + 5 = 0

Multiply (1 + 3x) * (1 + 3x)
(1(1 + 3x) + 3x * (1 + 3x)) + 5 = 0
((1 * 1 + 3x * 1) + 3x * (1 + 3x)) + 5 = 0
((1 + 3x) + 3x * (1 + 3x)) + 5 = 0
(1 + 3x + (1 * 3x + 3x * 3x)) + 5 = 0
(1 + 3x + (3x + 9x2)) + 5 = 0

Combine like terms: 3x + 3x = 6x
(1 + 6x + 9x2) + 5 = 0

Reorder the terms:
1 + 5 + 6x + 9x2 = 0

Combine like terms: 1 + 5 = 6
6 + 6x + 9x2 = 0

Solving
6 + 6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(2 + 2x + 3x2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(2 + 2x + 3x2)' equal to zero and attempt to solve:

Simplifying
2 + 2x + 3x2 = 0

Solving
2 + 2x + 3x2 = 0

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

Divide each side by '3'.
0.6666666667 + 0.6666666667x + x2 = 0

Move the constant term to the right:

Add '-0.6666666667' to each side of the equation.
0.6666666667 + 0.6666666667x + -0.6666666667 + x2 = 0 + -0.6666666667

Reorder the terms:
0.6666666667 + -0.6666666667 + 0.6666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0.6666666667 + -0.6666666667 = 0.0000000000
0.0000000000 + 0.6666666667x + x2 = 0 + -0.6666666667
0.6666666667x + x2 = 0 + -0.6666666667

Combine like terms: 0 + -0.6666666667 = -0.6666666667
0.6666666667x + x2 = -0.6666666667

The x term is 0.6666666667x.  Take half its coefficient (0.3333333334).
Square it (0.1111111112) and add it to both sides.

Add '0.1111111112' to each side of the equation.
0.6666666667x + 0.1111111112 + x2 = -0.6666666667 + 0.1111111112

Reorder the terms:
0.1111111112 + 0.6666666667x + x2 = -0.6666666667 + 0.1111111112

Combine like terms: -0.6666666667 + 0.1111111112 = -0.5555555555
0.1111111112 + 0.6666666667x + x2 = -0.5555555555

Factor a perfect square on the left side:
(x + 0.3333333334)(x + 0.3333333334) = -0.5555555555

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

See similar equations:

| 2x^2+108=0 | | x=x(60-2x)(45-2x) | | 25x^2-8x-4=0 | | 11q-16=51q-96 | | 4x-3=40x+24 | | 3x^2+5+6x= | | 11d+6-9d=46 | | 2w^2-8w-35=0 | | 4x^2=12x+9 | | 2(5+6x)=34 | | 10-6x=39x+23 | | 3x+2+5(4x-3)=12 | | 35-5x=4x+21 | | 6x+6=4x+9 | | (w^2-4w+1)+(5-5w^2-3w)= | | 2b+3b=140+b | | sec^5x=4*secx | | 4x+3x=105-19 | | 6x^4+8x^3+3x^2+4x=0 | | (6c^2-c-1)-(4-2c^2-8c)= | | 2x^4+25x^3+12x^2=0 | | 6y+4y+84=93+2y | | x3-56=112-x2 | | 3(n+4)=10+n | | 3(1x+2)=21 | | 5,106/2000 | | (x^3+3x-1)+(x^3-7+12x)= | | -5x-6+4x=-17 | | x/3-5/6=1/12-x/2 | | (-4p^2+p+9)+(p^2+3p+1)= | | (-18)(-13)= | | (5a^2-6a+2)-(7a^2-7a-5)= |

Equations solver categories