12x^2-20x+5=0

Simple and best practice solution for 12x^2-20x+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 12x^2-20x+5=0 equation: 


Simplifying
12x2 + -20x + 5 = 0

Reorder the terms:
5 + -20x + 12x2 = 0

Solving
5 + -20x + 12x2 = 0

Solving for variable 'x'.

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

Divide each side by '12'.
0.4166666667 + -1.666666667x + x2 = 0

Move the constant term to the right:

Add '-0.4166666667' to each side of the equation.
0.4166666667 + -1.666666667x + -0.4166666667 + x2 = 0 + -0.4166666667

Reorder the terms:
0.4166666667 + -0.4166666667 + -1.666666667x + x2 = 0 + -0.4166666667

Combine like terms: 0.4166666667 + -0.4166666667 = 0.0000000000
0.0000000000 + -1.666666667x + x2 = 0 + -0.4166666667
-1.666666667x + x2 = 0 + -0.4166666667

Combine like terms: 0 + -0.4166666667 = -0.4166666667
-1.666666667x + x2 = -0.4166666667

The x term is -1.666666667x.  Take half its coefficient (-0.8333333335).
Square it (0.6944444447) and add it to both sides.

Add '0.6944444447' to each side of the equation.
-1.666666667x + 0.6944444447 + x2 = -0.4166666667 + 0.6944444447

Reorder the terms:
0.6944444447 + -1.666666667x + x2 = -0.4166666667 + 0.6944444447

Combine like terms: -0.4166666667 + 0.6944444447 = 0.277777778
0.6944444447 + -1.666666667x + x2 = 0.277777778

Factor a perfect square on the left side:
(x + -0.8333333335)(x + -0.8333333335) = 0.277777778

Calculate the square root of the right side: 0.527046277

Break this problem into two subproblems by setting 
(x + -0.8333333335) equal to 0.527046277 and -0.527046277.


Subproblem 1
x + -0.8333333335 = 0.527046277

Simplifying
x + -0.8333333335 = 0.527046277

Reorder the terms:
-0.8333333335 + x = 0.527046277

Solving
-0.8333333335 + x = 0.527046277

Solving for variable 'x'.

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

Add '0.8333333335' to each side of the equation.
-0.8333333335 + 0.8333333335 + x = 0.527046277 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = 0.527046277 + 0.8333333335
x = 0.527046277 + 0.8333333335

Combine like terms: 0.527046277 + 0.8333333335 = 1.3603796105
x = 1.3603796105

Simplifying
x = 1.3603796105


Subproblem 2
x + -0.8333333335 = -0.527046277

Simplifying
x + -0.8333333335 = -0.527046277

Reorder the terms:
-0.8333333335 + x = -0.527046277

Solving
-0.8333333335 + x = -0.527046277

Solving for variable 'x'.

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

Add '0.8333333335' to each side of the equation.
-0.8333333335 + 0.8333333335 + x = -0.527046277 + 0.8333333335

Combine like terms: -0.8333333335 + 0.8333333335 = 0.0000000000
0.0000000000 + x = -0.527046277 + 0.8333333335
x = -0.527046277 + 0.8333333335

Combine like terms: -0.527046277 + 0.8333333335 = 0.3062870565
x = 0.3062870565

Simplifying
x = 0.3062870565


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {1.3603796105, 0.3062870565}

See similar equations:

| 12x^2-20x=-5 | | 10-2(3x-4)=5x+2(3-4x) | | 5+5+5+5=5555 | | 10-2x=8-12x | | 4-4x=9-2x | | 15x+25=14x-8 | | -0.8-2.5= | | 3x-1.5=3.6 | | f(1.6)=[1.6]-3.5 | | 3sqrt(x)+2x+1=0 | | 3-3*6+2=ans | | 24+x=8 | | 8(3s+8)=160 | | 24s+8=160 | | 2x^2-kx+12=4 | | v*(4(3x))=((16(3x))-3x^2(3x)) | | t(n)=30-5 | | 10+tanx=12 | | v=((16(3x))-3x^2(3x)) | | 3q+5= | | 4(2l+7)=68 | | 300=5x-15 | | .5*3+3=4.5 | | 5sinx=4.5 | | 0.2=cosx | | 10(s-6)=-136 | | 7x+28=2x-4 | | 6(4s+5)=174 | | 3(2l+4)=21 | | 2(a-4)=16 | | (u+5)*8=72 | | 4A+20=2A+70 |

Equations solver categories