0=3x^2+3x+4

Simple and best practice solution for 0=3x^2+3x+4 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 0=3x^2+3x+4 equation: 


Simplifying
0 = 3x2 + 3x + 4

Reorder the terms:
0 = 4 + 3x + 3x2

Solving
0 = 4 + 3x + 3x2

Solving for variable 'x'.

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

Reorder the terms:
-4 + -3x + -3x2 = 4 + -4 + 3x + -3x + 3x2 + -3x2

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

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

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

Factor out the Greatest Common Factor (GCF), '-1'.
-1(4 + 3x + 3x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(4 + 3x + 3x2)' equal to zero and attempt to solve:

Simplifying
4 + 3x + 3x2 = 0

Solving
4 + 3x + 3x2 = 0

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

Divide each side by '3'.
1.333333333 + x + x2 = 0

Move the constant term to the right:

Add '-1.333333333' to each side of the equation.
1.333333333 + x + -1.333333333 + x2 = 0 + -1.333333333

Reorder the terms:
1.333333333 + -1.333333333 + x + x2 = 0 + -1.333333333

Combine like terms: 1.333333333 + -1.333333333 = 0.000000000
0.000000000 + x + x2 = 0 + -1.333333333
x + x2 = 0 + -1.333333333

Combine like terms: 0 + -1.333333333 = -1.333333333
x + x2 = -1.333333333

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
 + 0.25 + x2 = -1.333333333 + 0.25

Combine like terms:  + 0.25 = 1.25
1.25 + x2 = -1.333333333 + 0.25

Combine like terms: -1.333333333 + 0.25 = -1.083333333
1.25 + x2 = -1.083333333

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -1.083333333

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:

| -3x+20=-2x+55 | | -3=5y-8 | | 13y-8y=45 | | x-2y-6y-20=0 | | 7-3(4+1)= | | 0.5x-6.2=3x-1.2 | | 5v^2-4v=0 | | 15y+3=5 | | 7-3(4p+1)= | | 4sin^2(4x)-3=0 | | 2A-B+4C-3D+3E=15 | | 8y-16=26y-19 | | 4+-2=-6 | | -y-15=24 | | 45x-24=16x+43 | | X(384)=2514 | | 2-8g=-2g+8 | | 2x-500/2(x-500)=0.5 | | 76=32x+6.5*x^2+13*x^3 | | X-8=-4x+42 | | 3*1/3*-5-7 | | 7x^2-8x+k=0 | | t/2-5=4 | | t/4-4=7 | | ln(-5p-7)=ln-4p | | 2.47*10^4/4.68*10^7 | | 4(3x+11)=-10 | | lnx*2x=0 | | 9.5=0.495x+2.5 | | cos(2x-10)=sin(x+40) | | 2(x+1)(x+1)-18=0 | | (3x+2)(8-4x)=0 |

Equations solver categories