3x+1=9x^2

Simple and best practice solution for 3x+1=9x^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+1=9x^2 equation: 


Simplifying
3x + 1 = 9x2

Reorder the terms:
1 + 3x = 9x2

Solving
1 + 3x = 9x2

Solving for variable 'x'.

Combine like terms: 9x2 + -9x2 = 0
1 + 3x + -9x2 = 0

Begin completing the square.  Divide all terms by
-9 the coefficient of the squared term: 

Divide each side by '-9'.
-0.1111111111 + -0.3333333333x + x2 = 0

Move the constant term to the right:

Add '0.1111111111' to each side of the equation.
-0.1111111111 + -0.3333333333x + 0.1111111111 + x2 = 0 + 0.1111111111

Reorder the terms:
-0.1111111111 + 0.1111111111 + -0.3333333333x + x2 = 0 + 0.1111111111

Combine like terms: -0.1111111111 + 0.1111111111 = 0.0000000000
0.0000000000 + -0.3333333333x + x2 = 0 + 0.1111111111
-0.3333333333x + x2 = 0 + 0.1111111111

Combine like terms: 0 + 0.1111111111 = 0.1111111111
-0.3333333333x + x2 = 0.1111111111

The x term is -0.3333333333x.  Take half its coefficient (-0.1666666667).
Square it (0.02777777779) and add it to both sides.

Add '0.02777777779' to each side of the equation.
-0.3333333333x + 0.02777777779 + x2 = 0.1111111111 + 0.02777777779

Reorder the terms:
0.02777777779 + -0.3333333333x + x2 = 0.1111111111 + 0.02777777779

Combine like terms: 0.1111111111 + 0.02777777779 = 0.13888888889
0.02777777779 + -0.3333333333x + x2 = 0.13888888889

Factor a perfect square on the left side:
(x + -0.1666666667)(x + -0.1666666667) = 0.13888888889

Calculate the square root of the right side: 0.372677996

Break this problem into two subproblems by setting 
(x + -0.1666666667) equal to 0.372677996 and -0.372677996.


Subproblem 1
x + -0.1666666667 = 0.372677996

Simplifying
x + -0.1666666667 = 0.372677996

Reorder the terms:
-0.1666666667 + x = 0.372677996

Solving
-0.1666666667 + x = 0.372677996

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + x = 0.372677996 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + x = 0.372677996 + 0.1666666667
x = 0.372677996 + 0.1666666667

Combine like terms: 0.372677996 + 0.1666666667 = 0.5393446627
x = 0.5393446627

Simplifying
x = 0.5393446627


Subproblem 2
x + -0.1666666667 = -0.372677996

Simplifying
x + -0.1666666667 = -0.372677996

Reorder the terms:
-0.1666666667 + x = -0.372677996

Solving
-0.1666666667 + x = -0.372677996

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '0.1666666667' to each side of the equation.
-0.1666666667 + 0.1666666667 + x = -0.372677996 + 0.1666666667

Combine like terms: -0.1666666667 + 0.1666666667 = 0.0000000000
0.0000000000 + x = -0.372677996 + 0.1666666667
x = -0.372677996 + 0.1666666667

Combine like terms: -0.372677996 + 0.1666666667 = -0.2060113293
x = -0.2060113293

Simplifying
x = -0.2060113293


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {0.5393446627, -0.2060113293}

See similar equations:

| w^2+14w-1395=0 | | 160=16t(7-t) | | .047=x(.062)+1(.027) | | C=50+0.75y | | 3a(a+4)-(a+4)=2(a+4) | | -16.2n=-14.5n+10.71 | | 3a=2a+8 | | x^2=473.75 | | 6.24+6.83+13.1j=4.91+2.9j | | -18u-19=-2u+19-18u | | -18c+1=-17c-13 | | s=t-2 | | 17m+8=19m | | 17m+=19m | | 7cosx+8=0 | | 8g+2=9g+8 | | N=-(-3)-(-8)+(-4) | | -5p-1=-9-p-5p | | -5-1=-9-p-5p | | 18t-20=-1+17t-20 | | 18t-20=-1+17-20 | | 8-4h=-2h | | 8+5w=9w | | -3+10b=9b+1 | | 34343x-47834784=3 | | b=126*77-1 | | 10-9y=-10-6y+2 | | 2x+13=y | | -6x^2-36x= | | 6(2x-4)+3=15 | | -7-3d=6d-7 | | 9+7v=4v |

Equations solver categories