x^2-18x-34=0

Simple and best practice solution for x^2-18x-34=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^2-18x-34=0 equation:


Simplifying
x2 + -18x + -34 = 0

Reorder the terms:
-34 + -18x + x2 = 0

Solving
-34 + -18x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '34' to each side of the equation.
-34 + -18x + 34 + x2 = 0 + 34

Reorder the terms:
-34 + 34 + -18x + x2 = 0 + 34

Combine like terms: -34 + 34 = 0
0 + -18x + x2 = 0 + 34
-18x + x2 = 0 + 34

Combine like terms: 0 + 34 = 34
-18x + x2 = 34

The x term is -18x.  Take half its coefficient (-9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
-18x + 81 + x2 = 34 + 81

Reorder the terms:
81 + -18x + x2 = 34 + 81

Combine like terms: 34 + 81 = 115
81 + -18x + x2 = 115

Factor a perfect square on the left side:
(x + -9)(x + -9) = 115

Calculate the square root of the right side: 10.723805295

Break this problem into two subproblems by setting 
(x + -9) equal to 10.723805295 and -10.723805295.

Subproblem 1

x + -9 = 10.723805295 Simplifying x + -9 = 10.723805295 Reorder the terms: -9 + x = 10.723805295 Solving -9 + x = 10.723805295 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = 10.723805295 + 9 Combine like terms: -9 + 9 = 0 0 + x = 10.723805295 + 9 x = 10.723805295 + 9 Combine like terms: 10.723805295 + 9 = 19.723805295 x = 19.723805295 Simplifying x = 19.723805295

Subproblem 2

x + -9 = -10.723805295 Simplifying x + -9 = -10.723805295 Reorder the terms: -9 + x = -10.723805295 Solving -9 + x = -10.723805295 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + x = -10.723805295 + 9 Combine like terms: -9 + 9 = 0 0 + x = -10.723805295 + 9 x = -10.723805295 + 9 Combine like terms: -10.723805295 + 9 = -1.723805295 x = -1.723805295 Simplifying x = -1.723805295

Solution

The solution to the problem is based on the solutions from the subproblems. x = {19.723805295, -1.723805295}

See similar equations:

| 2x^2+28x+41=-7 | | 18-2l=-2 | | -4.2x+31.5=-65.2 | | 2f-4e+4e=2f | | 4x+20=80+x | | 16.5x+200=14.5x+250 | | 2=11+3(m+3)4 | | 4x+19=80+x | | x-x+10(6x)=720 | | 18+d=80 | | x(x-14)=-48 | | -3m=-4 | | 4(-1+a)= | | X+x+1.4+x=x+2x-1.4+x | | 9+c=75 | | 5k+30=10 | | 8w^2+15w-26=0 | | 7x^2-28x+17=-4 | | x+x(6)-10=720 | | 7+b=50 | | 1/3x=3/4 | | 9j-12=12 | | 3x+y-21=0 | | p/7=12 | | 18a+9b=108.71 | | 8m-20=36whatism | | 9x+2(x-3)=15x+7 | | 3x-5=6x+14 | | 3x+4=7x-32 | | 2b+1b=-3 | | 2x(360+10)=720 | | 23+x=-3 |

Equations solver categories