(3x+1)(3x+1)-4=0

Simple and best practice solution for (3x+1)(3x+1)-4=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)-4=0 equation: 


Simplifying
(3x + 1)(3x + 1) + -4 = 0

Reorder the terms:
(1 + 3x)(3x + 1) + -4 = 0

Reorder the terms:
(1 + 3x)(1 + 3x) + -4 = 0

Multiply (1 + 3x) * (1 + 3x)
(1(1 + 3x) + 3x * (1 + 3x)) + -4 = 0
((1 * 1 + 3x * 1) + 3x * (1 + 3x)) + -4 = 0
((1 + 3x) + 3x * (1 + 3x)) + -4 = 0
(1 + 3x + (1 * 3x + 3x * 3x)) + -4 = 0
(1 + 3x + (3x + 9x2)) + -4 = 0

Combine like terms: 3x + 3x = 6x
(1 + 6x + 9x2) + -4 = 0

Reorder the terms:
1 + -4 + 6x + 9x2 = 0

Combine like terms: 1 + -4 = -3
-3 + 6x + 9x2 = 0

Solving
-3 + 6x + 9x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '3'.
3(-1 + 2x + 3x2) = 0

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

Ignore the factor 3.

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

Simplifying
-1 + -1x = 0

Solving
-1 + -1x = 0

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

Add '1' to each side of the equation.
-1 + 1 + -1x = 0 + 1

Combine like terms: -1 + 1 = 0
0 + -1x = 0 + 1
-1x = 0 + 1

Combine like terms: 0 + 1 = 1
-1x = 1

Divide each side by '-1'.
x = -1

Simplifying
x = -1

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

Simplifying
1 + -3x = 0

Solving
1 + -3x = 0

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

Add '-1' to each side of the equation.
1 + -1 + -3x = 0 + -1

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

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

Divide each side by '-3'.
x = 0.3333333333

Simplifying
x = 0.3333333333
Solution
x = {-1, 0.3333333333}

See similar equations:

| X-4/6=7/12 | | p=1.1N+30.4 | | 3+4(y+2)=11+4y | | -30/10=15/m | | 5+3(z-1)=4+3z | | 6y+5=7y+2 | | x^2+x^2=900 | | 8/p=3/11 | | (3x^3y^5)4=0 | | F=umg | | 3(z+1)=4z+8 | | ln(5x)+ln(3x)=9 | | (4x+5x^2)(5x+7x^7)=1 | | (.0015+x)*x/(.0085-x)=.0001778 | | 120-(7x+10)=7(x+5)+x | | 30/25=6/x | | x3^(1/2)x^(1/2)y+4y48^(1/2)x^(3/2) | | (11x-2)-(1/2(3x-1)) | | 3n^2=n+2 | | 7+2z-6=6z+3-3z | | x-3y+2z=10 | | 3+4y=8y-(1/5) | | 3(z+1)=4x+8 | | 0=3(y-3)+7-2y | | 19/2=76/m | | 2/3y+8y/(y-6)=-11/3 | | x+(1/6)x=42 | | 4(3x-2)+5x-(-3)=20 | | 3-4(6+2)-3*2=-35 | | 5/21=h/24 | | (4/5)t-1=7 | | 8x-y+z=12 |

Equations solver categories