x^2-34x-44=-34x+37

Solution for x^2-34x-44=-34x+37 equation:

Simplifying
x2 + -34x + -44 = -34x + 37

Reorder the terms:
-44 + -34x + x2 = -34x + 37

Reorder the terms:
-44 + -34x + x2 = 37 + -34x

Add '34x' to each side of the equation.
-44 + -34x + 34x + x2 = 37 + -34x + 34x

Combine like terms: -34x + 34x = 0
-44 + 0 + x2 = 37 + -34x + 34x
-44 + x2 = 37 + -34x + 34x

Combine like terms: -34x + 34x = 0
-44 + x2 = 37 + 0
-44 + x2 = 37

Solving
-44 + x2 = 37

Solving for variable 'x'.

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

Add '44' to each side of the equation.
-44 + 44 + x2 = 37 + 44

Combine like terms: -44 + 44 = 0
0 + x2 = 37 + 44
x2 = 37 + 44

Combine like terms: 37 + 44 = 81
x2 = 81

Simplifying
x2 = 81

Take the square root of each side:
x = {-9, 9}