1x*x-11x-18=0

Simple and best practice solution for 1x*x-11x-18=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 1x*x-11x-18=0 equation:


Simplifying
1x * x + -11x + -18 = 0

Multiply x * x
1x2 + -11x + -18 = 0

Reorder the terms:
-18 + -11x + 1x2 = 0

Solving
-18 + -11x + 1x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '18' to each side of the equation.
-18 + -11x + 18 + x2 = 0 + 18

Reorder the terms:
-18 + 18 + -11x + x2 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -11x + x2 = 0 + 18
-11x + x2 = 0 + 18

Combine like terms: 0 + 18 = 18
-11x + x2 = 18

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = 18 + 30.25

Reorder the terms:
30.25 + -11x + x2 = 18 + 30.25

Combine like terms: 18 + 30.25 = 48.25
30.25 + -11x + x2 = 48.25

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = 48.25

Calculate the square root of the right side: 6.946221995

Break this problem into two subproblems by setting 
(x + -5.5) equal to 6.946221995 and -6.946221995.

Subproblem 1

x + -5.5 = 6.946221995 Simplifying x + -5.5 = 6.946221995 Reorder the terms: -5.5 + x = 6.946221995 Solving -5.5 + x = 6.946221995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = 6.946221995 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = 6.946221995 + 5.5 x = 6.946221995 + 5.5 Combine like terms: 6.946221995 + 5.5 = 12.446221995 x = 12.446221995 Simplifying x = 12.446221995

Subproblem 2

x + -5.5 = -6.946221995 Simplifying x + -5.5 = -6.946221995 Reorder the terms: -5.5 + x = -6.946221995 Solving -5.5 + x = -6.946221995 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5.5' to each side of the equation. -5.5 + 5.5 + x = -6.946221995 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + x = -6.946221995 + 5.5 x = -6.946221995 + 5.5 Combine like terms: -6.946221995 + 5.5 = -1.446221995 x = -1.446221995 Simplifying x = -1.446221995

Solution

The solution to the problem is based on the solutions from the subproblems. x = {12.446221995, -1.446221995}

See similar equations:

| 3x+3-4x-8=4-6x+1 | | 6x+8=2x-4 | | .04s=2.4 | | 3x-21=3 | | b-2=9.4 | | 6n=3.6 | | z+1.2=7 | | -9(y+4)=-2y-29 | | y-8=-3.3 | | 4t(t-1)=120 | | -4x=36 | | 1x^2-11x-18=0 | | 2c^2-12c+18=0 | | 8(x+5)=104 | | 4a^2-40a+100=0 | | -2.5w=-2 | | 5v+7(v+5)=83 | | -7x-3x+s=-8x-8 | | 18=s(s-7) | | 1x^2-7x-12=0 | | x-10=-17 | | 6x^2+3x+4=2010 | | 1=x-2 | | 9y+4=-2y-29 | | 6(x+5)=-2(x-3) | | 14=3(x-2)+5 | | 2t-12-3t=-20 | | 4w+8=-1 | | 0.2= | | x+3=-13 | | x+3=-13 | | 3x-9-5x=7 |

Equations solver categories