x^2-18x-81=2526

Simple and best practice solution for x^2-18x-81=2526 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-81=2526 equation: 


Simplifying
x2 + -18x + -81 = 2526

Reorder the terms:
-81 + -18x + x2 = 2526

Solving
-81 + -18x + x2 = 2526

Solving for variable 'x'.

Reorder the terms:
-81 + -2526 + -18x + x2 = 2526 + -2526

Combine like terms: -81 + -2526 = -2607
-2607 + -18x + x2 = 2526 + -2526

Combine like terms: 2526 + -2526 = 0
-2607 + -18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '2607' to each side of the equation.
-2607 + -18x + 2607 + x2 = 0 + 2607

Reorder the terms:
-2607 + 2607 + -18x + x2 = 0 + 2607

Combine like terms: -2607 + 2607 = 0
0 + -18x + x2 = 0 + 2607
-18x + x2 = 0 + 2607

Combine like terms: 0 + 2607 = 2607
-18x + x2 = 2607

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 = 2607 + 81

Reorder the terms:
81 + -18x + x2 = 2607 + 81

Combine like terms: 2607 + 81 = 2688
81 + -18x + x2 = 2688

Factor a perfect square on the left side:
(x + -9)(x + -9) = 2688

Calculate the square root of the right side: 51.845925587

Break this problem into two subproblems by setting 
(x + -9) equal to 51.845925587 and -51.845925587.


Subproblem 1
x + -9 = 51.845925587

Simplifying
x + -9 = 51.845925587

Reorder the terms:
-9 + x = 51.845925587

Solving
-9 + x = 51.845925587

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 = 51.845925587 + 9

Combine like terms: -9 + 9 = 0
0 + x = 51.845925587 + 9
x = 51.845925587 + 9

Combine like terms: 51.845925587 + 9 = 60.845925587
x = 60.845925587

Simplifying
x = 60.845925587


Subproblem 2
x + -9 = -51.845925587

Simplifying
x + -9 = -51.845925587

Reorder the terms:
-9 + x = -51.845925587

Solving
-9 + x = -51.845925587

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 = -51.845925587 + 9

Combine like terms: -9 + 9 = 0
0 + x = -51.845925587 + 9
x = -51.845925587 + 9

Combine like terms: -51.845925587 + 9 = -42.845925587
x = -42.845925587

Simplifying
x = -42.845925587


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {60.845925587, -42.845925587}

See similar equations:

| 2-3(x+4)=9-(3+2) | | 5x+1=2x-32 | | x^2+24x+144=29 | | x*2=22 | | 9x^2-73x+70= | | 7+4x/9=x/2 | | 6x^2-55x+56= | | 2x-3(x+6)=(x-1) | | 10x^2+62x+60= | | x^2-22x+121=90 | | 2e^4x=12e^9x | | 1/172(x-1330)^2+1980 | | x+0.6x= | | 9x-11=-x+29 | | 250=10*n | | 5(x-7)-2(3x-4)=3x | | x/12-14=-13 | | 35=30.5+n | | y-24=-3/5(x-6) | | 1/2Y+3=3Y-22 | | 6x-24=18 | | 4(12+z)-z=192 | | 5y(2)= | | 6+2y=7 | | y=2x^2-4x-1 | | R=.4x-.0001x^2 | | -8ln(-9x)=-8 | | 4p+9+(-7)+2= | | 6t^2-t-1=0 | | ln(-9x)=1 | | (12-7x)/(6-5x) | | -6/7x+1=-3/84x+19/91 |

Equations solver categories