x^2-16x-26=7x-4

Solution for x^2-16x-26=7x-4 equation:

Simplifying
x2 + -16x + -26 = 7x + -4

Reorder the terms:
-26 + -16x + x2 = 7x + -4

Reorder the terms:
-26 + -16x + x2 = -4 + 7x

Solving
-26 + -16x + x2 = -4 + 7x

Solving for variable 'x'.

Reorder the terms:
-26 + 4 + -16x + -7x + x2 = -4 + 7x + 4 + -7x

Combine like terms: -26 + 4 = -22
-22 + -16x + -7x + x2 = -4 + 7x + 4 + -7x

Combine like terms: -16x + -7x = -23x
-22 + -23x + x2 = -4 + 7x + 4 + -7x

Reorder the terms:
-22 + -23x + x2 = -4 + 4 + 7x + -7x

Combine like terms: -4 + 4 = 0
-22 + -23x + x2 = 0 + 7x + -7x
-22 + -23x + x2 = 7x + -7x

Combine like terms: 7x + -7x = 0
-22 + -23x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '22' to each side of the equation.
-22 + -23x + 22 + x2 = 0 + 22

Reorder the terms:
-22 + 22 + -23x + x2 = 0 + 22

Combine like terms: -22 + 22 = 0
0 + -23x + x2 = 0 + 22
-23x + x2 = 0 + 22

Combine like terms: 0 + 22 = 22
-23x + x2 = 22

The x term is -23x.  Take half its coefficient (-11.5).
Square it (132.25) and add it to both sides.

Add '132.25' to each side of the equation.
-23x + 132.25 + x2 = 22 + 132.25

Reorder the terms:
132.25 + -23x + x2 = 22 + 132.25

Combine like terms: 22 + 132.25 = 154.25
132.25 + -23x + x2 = 154.25

Factor a perfect square on the left side:
(x + -11.5)(x + -11.5) = 154.25

Calculate the square root of the right side: 12.419742348

Break this problem into two subproblems by setting 
(x + -11.5) equal to 12.419742348 and -12.419742348.

Subproblem 1
x + -11.5 = 12.419742348

Simplifying
x + -11.5 = 12.419742348

Reorder the terms:
-11.5 + x = 12.419742348

Solving
-11.5 + x = 12.419742348

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = 12.419742348 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = 12.419742348 + 11.5
x = 12.419742348 + 11.5

Combine like terms: 12.419742348 + 11.5 = 23.919742348
x = 23.919742348

Simplifying
x = 23.919742348

Subproblem 2
x + -11.5 = -12.419742348

Simplifying
x + -11.5 = -12.419742348

Reorder the terms:
-11.5 + x = -12.419742348

Solving
-11.5 + x = -12.419742348

Solving for variable 'x'.

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

Add '11.5' to each side of the equation.
-11.5 + 11.5 + x = -12.419742348 + 11.5

Combine like terms: -11.5 + 11.5 = 0.0
0.0 + x = -12.419742348 + 11.5
x = -12.419742348 + 11.5

Combine like terms: -12.419742348 + 11.5 = -0.919742348
x = -0.919742348

Simplifying
x = -0.919742348

Solution
The solution to the problem is based on the solutions
from the subproblems.
x = {23.919742348, -0.919742348}