3x^2-12x+5=0

Simple and best practice solution for 3x^2-12x+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^2-12x+5=0 equation: 


Simplifying
3x2 + -12x + 5 = 0

Reorder the terms:
5 + -12x + 3x2 = 0

Solving
5 + -12x + 3x2 = 0

Solving for variable 'x'.

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

Divide each side by '3'.
1.666666667 + -4x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -4x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -4x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -4x + x2 = 0 + -1.666666667
-4x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-4x + x2 = -1.666666667

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

Add '4' to each side of the equation.
-4x + 4 + x2 = -1.666666667 + 4

Reorder the terms:
4 + -4x + x2 = -1.666666667 + 4

Combine like terms: -1.666666667 + 4 = 2.333333333
4 + -4x + x2 = 2.333333333

Factor a perfect square on the left side:
(x + -2)(x + -2) = 2.333333333

Calculate the square root of the right side: 1.527525232

Break this problem into two subproblems by setting 
(x + -2) equal to 1.527525232 and -1.527525232.


Subproblem 1
x + -2 = 1.527525232

Simplifying
x + -2 = 1.527525232

Reorder the terms:
-2 + x = 1.527525232

Solving
-2 + x = 1.527525232

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 1.527525232 + 2

Combine like terms: -2 + 2 = 0
0 + x = 1.527525232 + 2
x = 1.527525232 + 2

Combine like terms: 1.527525232 + 2 = 3.527525232
x = 3.527525232

Simplifying
x = 3.527525232


Subproblem 2
x + -2 = -1.527525232

Simplifying
x + -2 = -1.527525232

Reorder the terms:
-2 + x = -1.527525232

Solving
-2 + x = -1.527525232

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -1.527525232 + 2

Combine like terms: -2 + 2 = 0
0 + x = -1.527525232 + 2
x = -1.527525232 + 2

Combine like terms: -1.527525232 + 2 = 0.472474768
x = 0.472474768

Simplifying
x = 0.472474768


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.527525232, 0.472474768}

See similar equations:

| 2d-1+3d+1=-30 | | X+1+2x=x+5 | | -87=9-8x | | 32*b-6= | | 2(m-7)2=16 | | -(2)+3= | | 5a-2a=-54 | | 18x-6(3x-4)=0 | | 10+3-(-8)= | | X(4x^2-1)= | | -16+(-13)+5= | | 2-8x=10+20 | | 5a-2(4a+5)=7 | | 3x+4=30 | | t(4+1)+9=27 | | 4p-3=2p+7 | | -16-3x=6 | | (-12)+(-11)= | | (-29)-29= | | 2(x^6-4)= | | 2-(-9)-8= | | 2+15+4= | | 2(x^6-6)= | | 3x(10x^2+7x+1)= | | (-32)-44= | | p^3-5p^2=0 | | 3y-2y-6=y+3 | | y=4x^2+7x | | 13+(-29)= | | 2(6x^2+19x+8)= | | y=x^2+12x+45 | | 3(x)=84 |

Equations solver categories