x^2-4x-26=0

Simple and best practice solution for x^2-4x-26=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^2-4x-26=0 equation: 


Simplifying
x2 + -4x + -26 = 0

Reorder the terms:
-26 + -4x + x2 = 0

Solving
-26 + -4x + x2 = 0

Solving for variable 'x'.

Begin completing the square.

Move the constant term to the right:

Add '26' to each side of the equation.
-26 + -4x + 26 + x2 = 0 + 26

Reorder the terms:
-26 + 26 + -4x + x2 = 0 + 26

Combine like terms: -26 + 26 = 0
0 + -4x + x2 = 0 + 26
-4x + x2 = 0 + 26

Combine like terms: 0 + 26 = 26
-4x + x2 = 26

The x term is -4x.  Take half its coefficient (-2).
Square it (4) and add it to both sides.

Add '4' to each side of the equation.
-4x + 4 + x2 = 26 + 4

Reorder the terms:
4 + -4x + x2 = 26 + 4

Combine like terms: 26 + 4 = 30
4 + -4x + x2 = 30

Factor a perfect square on the left side:
(x + -2)(x + -2) = 30

Calculate the square root of the right side: 5.477225575

Break this problem into two subproblems by setting 
(x + -2) equal to 5.477225575 and -5.477225575.


Subproblem 1
x + -2 = 5.477225575

Simplifying
x + -2 = 5.477225575

Reorder the terms:
-2 + x = 5.477225575

Solving
-2 + x = 5.477225575

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = 5.477225575 + 2

Combine like terms: -2 + 2 = 0
0 + x = 5.477225575 + 2
x = 5.477225575 + 2

Combine like terms: 5.477225575 + 2 = 7.477225575
x = 7.477225575

Simplifying
x = 7.477225575


Subproblem 2
x + -2 = -5.477225575

Simplifying
x + -2 = -5.477225575

Reorder the terms:
-2 + x = -5.477225575

Solving
-2 + x = -5.477225575

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + x = -5.477225575 + 2

Combine like terms: -2 + 2 = 0
0 + x = -5.477225575 + 2
x = -5.477225575 + 2

Combine like terms: -5.477225575 + 2 = -3.477225575
x = -3.477225575

Simplifying
x = -3.477225575


Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {7.477225575, -3.477225575}

See similar equations:

| (x-1)2+(y-9)2=64 | | n^2+6n-46=0 | | 36/45 | | 36x/45x^2 | | -10(x-7)-3= | | 18(y+5)2=x | | 9(s-9)= | | 14=s/p | | 3x^2=-33 | | 4z-7(3-4)= | | u+18=v | | -2(4y)-7+4(5+7)= | | m=10n | | 6+3(3n+5n)-n= | | 9y+3=10y-15 | | -10(t-8)-7t= | | 2(x-1)=3(x+2)-5(x+3) | | 4x+12=6x-8 | | 10x+15=16x+3 | | 3y/12 | | x^5/x^-4 | | n^2+14n+33=0 | | 15=v-u | | 15+3f=2f | | 8x+30=(12x+3)-5 | | 3x+76=7x+20 | | 3(2)+2y=72 | | 3x+2(0)=72 | | 3(0)+2y=72 | | -12(y-2)=(x+1)2 | | 7+-1=8x+4 | | x+5y=3y |

Equations solver categories