3g^2-12g+1=0

Simple and best practice solution for 3g^2-12g+1=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 3g^2-12g+1=0 equation:


Simplifying
3g2 + -12g + 1 = 0

Reorder the terms:
1 + -12g + 3g2 = 0

Solving
1 + -12g + 3g2 = 0

Solving for variable 'g'.

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

Divide each side by '3'.
0.3333333333 + -4g + g2 = 0

Move the constant term to the right:

Add '-0.3333333333' to each side of the equation.
0.3333333333 + -4g + -0.3333333333 + g2 = 0 + -0.3333333333

Reorder the terms:
0.3333333333 + -0.3333333333 + -4g + g2 = 0 + -0.3333333333

Combine like terms: 0.3333333333 + -0.3333333333 = 0.0000000000
0.0000000000 + -4g + g2 = 0 + -0.3333333333
-4g + g2 = 0 + -0.3333333333

Combine like terms: 0 + -0.3333333333 = -0.3333333333
-4g + g2 = -0.3333333333

The g term is -4g.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4g + 4 + g2 = -0.3333333333 + 4

Reorder the terms:
4 + -4g + g2 = -0.3333333333 + 4

Combine like terms: -0.3333333333 + 4 = 3.6666666667
4 + -4g + g2 = 3.6666666667

Factor a perfect square on the left side:
(g + -2)(g + -2) = 3.6666666667

Calculate the square root of the right side: 1.914854216

Break this problem into two subproblems by setting 
(g + -2) equal to 1.914854216 and -1.914854216.

Subproblem 1

g + -2 = 1.914854216 Simplifying g + -2 = 1.914854216 Reorder the terms: -2 + g = 1.914854216 Solving -2 + g = 1.914854216 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + g = 1.914854216 + 2 Combine like terms: -2 + 2 = 0 0 + g = 1.914854216 + 2 g = 1.914854216 + 2 Combine like terms: 1.914854216 + 2 = 3.914854216 g = 3.914854216 Simplifying g = 3.914854216

Subproblem 2

g + -2 = -1.914854216 Simplifying g + -2 = -1.914854216 Reorder the terms: -2 + g = -1.914854216 Solving -2 + g = -1.914854216 Solving for variable 'g'. Move all terms containing g to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + g = -1.914854216 + 2 Combine like terms: -2 + 2 = 0 0 + g = -1.914854216 + 2 g = -1.914854216 + 2 Combine like terms: -1.914854216 + 2 = 0.085145784 g = 0.085145784 Simplifying g = 0.085145784

Solution

The solution to the problem is based on the solutions from the subproblems. g = {3.914854216, 0.085145784}

See similar equations:

| y-9/4=11/6 | | 5F+-9C= | | 1/2(x-3)=1/3x-1 | | -5(2x+1)=-6-8x | | 7/4h=1/4h-12h | | 8-24x-12x+35x+10=9 | | x-3/100=37/100 | | (4x-8)-(6x+13)=90 | | 9-5z=9-2-(6z+7) | | 4x+(-20)=44 | | -3/8=5/3*a | | 34-(2y-2)=2(y+2)+4y | | -8=9c-(c+24) | | M=56x-0.25 | | (4x-8)+(6x+13)=90 | | 2a+2b+4a-3b+a= | | 16x=9x+6 | | -6-12=5x+17-4x | | y=1/(10x^3) | | 7-12=x-8+(4)(4) | | 5n+4=4n | | p-4/5=2/3 | | -5-3k=k+3+4 | | 12n+(-5n)= | | 7x-2=5x+7 | | 3n+4=2n+6 | | .19x=2.5+.15x-.0001x^2 | | 11x+0=8x-6 | | 6(-4x+2)-3x=93 | | 2xy-4y=8 | | 0=x^4-26x^2+25 | | .19x=2.5+.15-.0001x^2 |

Equations solver categories