1.2x^2-5x+2=0

Simple and best practice solution for 1.2x^2-5x+2=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 1.2x^2-5x+2=0 equation: 


Simplifying
1.2x2 + -5x + 2 = 0

Reorder the terms:
2 + -5x + 1.2x2 = 0

Solving
2 + -5x + 1.2x2 = 0

Solving for variable 'x'.

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

Divide each side by '1.2'.
1.666666667 + -4.166666667x + x2 = 0

Move the constant term to the right:

Add '-1.666666667' to each side of the equation.
1.666666667 + -4.166666667x + -1.666666667 + x2 = 0 + -1.666666667

Reorder the terms:
1.666666667 + -1.666666667 + -4.166666667x + x2 = 0 + -1.666666667

Combine like terms: 1.666666667 + -1.666666667 = 0.000000000
0.000000000 + -4.166666667x + x2 = 0 + -1.666666667
-4.166666667x + x2 = 0 + -1.666666667

Combine like terms: 0 + -1.666666667 = -1.666666667
-4.166666667x + x2 = -1.666666667

The x term is -4.166666667x.  Take half its coefficient (-2.083333334).
Square it (4.340277781) and add it to both sides.

Add '4.340277781' to each side of the equation.
-4.166666667x + 4.340277781 + x2 = -1.666666667 + 4.340277781

Reorder the terms:
4.340277781 + -4.166666667x + x2 = -1.666666667 + 4.340277781

Combine like terms: -1.666666667 + 4.340277781 = 2.673611114
4.340277781 + -4.166666667x + x2 = 2.673611114

Factor a perfect square on the left side:
(x + -2.083333334)(x + -2.083333334) = 2.673611114

Calculate the square root of the right side: 1.635118073

Break this problem into two subproblems by setting 
(x + -2.083333334) equal to 1.635118073 and -1.635118073.


Subproblem 1
x + -2.083333334 = 1.635118073

Simplifying
x + -2.083333334 = 1.635118073

Reorder the terms:
-2.083333334 + x = 1.635118073

Solving
-2.083333334 + x = 1.635118073

Solving for variable 'x'.

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

Add '2.083333334' to each side of the equation.
-2.083333334 + 2.083333334 + x = 1.635118073 + 2.083333334

Combine like terms: -2.083333334 + 2.083333334 = 0.000000000
0.000000000 + x = 1.635118073 + 2.083333334
x = 1.635118073 + 2.083333334

Combine like terms: 1.635118073 + 2.083333334 = 3.718451407
x = 3.718451407

Simplifying
x = 3.718451407


Subproblem 2
x + -2.083333334 = -1.635118073

Simplifying
x + -2.083333334 = -1.635118073

Reorder the terms:
-2.083333334 + x = -1.635118073

Solving
-2.083333334 + x = -1.635118073

Solving for variable 'x'.

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

Add '2.083333334' to each side of the equation.
-2.083333334 + 2.083333334 + x = -1.635118073 + 2.083333334

Combine like terms: -2.083333334 + 2.083333334 = 0.000000000
0.000000000 + x = -1.635118073 + 2.083333334
x = -1.635118073 + 2.083333334

Combine like terms: -1.635118073 + 2.083333334 = 0.448215261
x = 0.448215261

Simplifying
x = 0.448215261


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {3.718451407, 0.448215261}

See similar equations:

| 3/6-a/12 | | .03x=300 | | -55-p=7 | | 2x^2-22=-x^2+5 | | -2z-4z=5z-8-8z | | x^4-60x^3=0 | | -2.3-3.3(x-2.2)=7.8 | | -9x+9a+6-10a+x+1= | | 6x+x=5 | | .03x=768 | | log(8x^2)-log(2x)=log(2x)+log(x+4) | | 2x-27=-12 | | 10-8x-6-2x=6 | | -x+12=-3x+10 | | 5x=2(-7)-16 | | 2.5(x+4)*5x+3*5x=53.5 | | 4+8(x-2)=12x-4(x+4) | | 7u-2u=-10 | | 2x^2-15=-15 | | -6+104=t | | Y=3/7x-7 | | X-7y=19 | | G+9g=140 | | 146=5x-6 | | 2a+3a=1 | | 6-4x=54 | | 52-d=5 | | 24y=5x+13 | | 1440-.10x=840 | | 6x-25=9-4x+5-3x | | 19x-4=14x-19 | | 2x+i=2-iz |

Equations solver categories