x^2+26x-174=0

Simple and best practice solution for x^2+26x-174=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+26x-174=0 equation: 


Simplifying
x2 + 26x + -174 = 0

Reorder the terms:
-174 + 26x + x2 = 0

Solving
-174 + 26x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '174' to each side of the equation.
-174 + 26x + 174 + x2 = 0 + 174

Reorder the terms:
-174 + 174 + 26x + x2 = 0 + 174

Combine like terms: -174 + 174 = 0
0 + 26x + x2 = 0 + 174
26x + x2 = 0 + 174

Combine like terms: 0 + 174 = 174
26x + x2 = 174

The x term is 26x.  Take half its coefficient (13).
Square it (169) and add it to both sides.

Add '169' to each side of the equation.
26x + 169 + x2 = 174 + 169

Reorder the terms:
169 + 26x + x2 = 174 + 169

Combine like terms: 174 + 169 = 343
169 + 26x + x2 = 343

Factor a perfect square on the left side:
(x + 13)(x + 13) = 343

Calculate the square root of the right side: 18.520259177

Break this problem into two subproblems by setting 
(x + 13) equal to 18.520259177 and -18.520259177.


Subproblem 1
x + 13 = 18.520259177

Simplifying
x + 13 = 18.520259177

Reorder the terms:
13 + x = 18.520259177

Solving
13 + x = 18.520259177

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + x = 18.520259177 + -13

Combine like terms: 13 + -13 = 0
0 + x = 18.520259177 + -13
x = 18.520259177 + -13

Combine like terms: 18.520259177 + -13 = 5.520259177
x = 5.520259177

Simplifying
x = 5.520259177


Subproblem 2
x + 13 = -18.520259177

Simplifying
x + 13 = -18.520259177

Reorder the terms:
13 + x = -18.520259177

Solving
13 + x = -18.520259177

Solving for variable 'x'.

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

Add '-13' to each side of the equation.
13 + -13 + x = -18.520259177 + -13

Combine like terms: 13 + -13 = 0
0 + x = -18.520259177 + -13
x = -18.520259177 + -13

Combine like terms: -18.520259177 + -13 = -31.520259177
x = -31.520259177

Simplifying
x = -31.520259177


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {5.520259177, -31.520259177}

See similar equations:

| Log(19)(-5x-6)=log(19)(2-3x) | | 3/x+5=6/x+2 | | y=-1-6 | | 20x^3+13x^2+2=0 | | -5-(2-3p)= | | 1.4q-4.7-1.9q=-1.5q-4.8 | | (p+3)/2=(p-4)/3 | | x+x+1+x+2=246 | | -.05(80)+.7x=.3(80+x) | | 18.1-x=-0.7 | | p+3/2=p-4/3 | | 4(y+6)=3y | | 4t-14t=40 | | -4.3-.1x=10 | | 6x=-6x | | x+4=x+1 | | -11/-11 | | (3x-0.50)=0 | | 2x^2-x+300=0 | | 4(t-6)+8t=6(2t+2)-10 | | 8(x-8)=7 | | x+x+1=329 | | 2y-6(4)=4 | | 1.6+k=-4.8 | | 2y-6(-1)=4 | | 4.4q-3.8-5.3q=-1.9q-5.3 | | 8x-20.3=x | | 5-4=6+2x | | 9x+4y=-78 | | (25b-1)-6(4b+3)=-4 | | y+4=-3 | | 3x-2=(x+3) |

Equations solver categories