x^2+x-11666.6=0

Simple and best practice solution for x^2+x-11666.6=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+x-11666.6=0 equation:


Simplifying
x2 + x + -11666.6 = 0

Reorder the terms:
-11666.6 + x + x2 = 0

Solving
-11666.6 + x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '11666.6' to each side of the equation.
-11666.6 + x + 11666.6 + x2 = 0 + 11666.6

Reorder the terms:
-11666.6 + 11666.6 + x + x2 = 0 + 11666.6

Combine like terms: -11666.6 + 11666.6 = 0.0
0.0 + x + x2 = 0 + 11666.6
x + x2 = 0 + 11666.6

Combine like terms: 0 + 11666.6 = 11666.6
x + x2 = 11666.6

The x term is x.  Take half its coefficient (0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
x + 0.25 + x2 = 11666.6 + 0.25

Reorder the terms:
0.25 + x + x2 = 11666.6 + 0.25

Combine like terms: 11666.6 + 0.25 = 11666.85
0.25 + x + x2 = 11666.85

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = 11666.85

Calculate the square root of the right side: 108.013193639

Break this problem into two subproblems by setting 
(x + 0.5) equal to 108.013193639 and -108.013193639.

Subproblem 1

x + 0.5 = 108.013193639 Simplifying x + 0.5 = 108.013193639 Reorder the terms: 0.5 + x = 108.013193639 Solving 0.5 + x = 108.013193639 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = 108.013193639 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = 108.013193639 + -0.5 x = 108.013193639 + -0.5 Combine like terms: 108.013193639 + -0.5 = 107.513193639 x = 107.513193639 Simplifying x = 107.513193639

Subproblem 2

x + 0.5 = -108.013193639 Simplifying x + 0.5 = -108.013193639 Reorder the terms: 0.5 + x = -108.013193639 Solving 0.5 + x = -108.013193639 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5' to each side of the equation. 0.5 + -0.5 + x = -108.013193639 + -0.5 Combine like terms: 0.5 + -0.5 = 0.0 0.0 + x = -108.013193639 + -0.5 x = -108.013193639 + -0.5 Combine like terms: -108.013193639 + -0.5 = -108.513193639 x = -108.513193639 Simplifying x = -108.513193639

Solution

The solution to the problem is based on the solutions from the subproblems. x = {107.513193639, -108.513193639}

See similar equations:

| 40=-10+25logX | | 10(3n+3)=2(10n+6)+4 | | 28x-74=4x^2-25 | | x^2+x-12000=0 | | x^2+x+11666.6=0 | | (13x+8)-(3x+4)= | | 5y^2/25y^3 | | 11x-5-10x-5=-14 | | 4+8(t-10)=-128-(8-2t) | | 7(3x+1)+8(2x-3)=4(3x-1)-7(c-4) | | 6x^4-13x^3+12x^2+13x+6=0 | | 3b+18-12=32+b | | 514(n+9)=-3 | | y-5=-3(x-1) | | 12n+7= | | 4n-m=-m | | z^3-7z^2-21z+11=0 | | z^3-7z^2-21z-11=0 | | z^3-7z^2-21z=11 | | X+3(y)=-28 | | (x+6)(x+4)=0 | | 5x+16-4x=-2-12 | | -15c^2-42=0 | | -14x-15=16x-27 | | -8-11=5x+17-4x | | (2(6-x))/4=20 | | 5p-1=21 | | 5x+6-2(x+4)=7 | | 14(3r+12)=9(5r-1) | | 2=(12-X)/10-7 | | (32x)(3x-1)=0 | | (x+2i)(x-2i)(x-(-3+i))(x+(-3i))= |

Equations solver categories