x^2-12.728x+14=0

Simple and best practice solution for x^2-12.728x+14=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 x^2-12.728x+14=0 equation: 


Simplifying
x2 + -12.728x + 14 = 0

Reorder the terms:
14 + -12.728x + x2 = 0

Solving
14 + -12.728x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '-14' to each side of the equation.
14 + -12.728x + -14 + x2 = 0 + -14

Reorder the terms:
14 + -14 + -12.728x + x2 = 0 + -14

Combine like terms: 14 + -14 = 0
0 + -12.728x + x2 = 0 + -14
-12.728x + x2 = 0 + -14

Combine like terms: 0 + -14 = -14
-12.728x + x2 = -14

The x term is -12.728x.  Take half its coefficient (-6.364).
Square it (40.500496) and add it to both sides.

Add '40.500496' to each side of the equation.
-12.728x + 40.500496 + x2 = -14 + 40.500496

Reorder the terms:
40.500496 + -12.728x + x2 = -14 + 40.500496

Combine like terms: -14 + 40.500496 = 26.500496
40.500496 + -12.728x + x2 = 26.500496

Factor a perfect square on the left side:
(x + -6.364)(x + -6.364) = 26.500496

Calculate the square root of the right side: 5.147863246

Break this problem into two subproblems by setting 
(x + -6.364) equal to 5.147863246 and -5.147863246.


Subproblem 1
x + -6.364 = 5.147863246

Simplifying
x + -6.364 = 5.147863246

Reorder the terms:
-6.364 + x = 5.147863246

Solving
-6.364 + x = 5.147863246

Solving for variable 'x'.

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

Add '6.364' to each side of the equation.
-6.364 + 6.364 + x = 5.147863246 + 6.364

Combine like terms: -6.364 + 6.364 = 0.000
0.000 + x = 5.147863246 + 6.364
x = 5.147863246 + 6.364

Combine like terms: 5.147863246 + 6.364 = 11.511863246
x = 11.511863246

Simplifying
x = 11.511863246


Subproblem 2
x + -6.364 = -5.147863246

Simplifying
x + -6.364 = -5.147863246

Reorder the terms:
-6.364 + x = -5.147863246

Solving
-6.364 + x = -5.147863246

Solving for variable 'x'.

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

Add '6.364' to each side of the equation.
-6.364 + 6.364 + x = -5.147863246 + 6.364

Combine like terms: -6.364 + 6.364 = 0.000
0.000 + x = -5.147863246 + 6.364
x = -5.147863246 + 6.364

Combine like terms: -5.147863246 + 6.364 = 1.216136754
x = 1.216136754

Simplifying
x = 1.216136754


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {11.511863246, 1.216136754}

See similar equations:

| 6m^2+11-10= | | 3+2(8x-2)=63 | | 7+6(1+5y)=-22 | | 3c-5=-11 | | 6x+5+x=-30 | | 3x+2x-4=-6 | | -80=8*-1.6666-10y | | 9a+2a=-27 | | -16x+4y=9 | | 9/10:1/2 | | -28=-6x-8x | | 20=-12x | | 6n^2-7n+2= | | 18=-4+2(z-5) | | x=38-5y | | 10:2/5 | | (10-x)(8-x)(6-x)=105 | | 3(2x-5)=5x(x-4) | | 4k^2+16k+7= | | 8y=-72x-8 | | .54(12)+0.06x=.18(12+x) | | 4r^2-17r+15= | | 3x^2+18x+14=0 | | 100=-20x+10 | | 2x^2-40x=3000 | | you+me=love | | -5=4(y-2)-7y | | x^2-40x-21000=0 | | -9(6+u)-2u=-63 | | a=bh/2;h | | 4y+6-2y=6+y-4 | | -50=10x-5*-2 |

Equations solver categories