42*42+x*x=89*89

Solution for 42*42+x*x=89*89 equation:

Simplifying
42 * 42 + x * x = 89 * 89

Multiply 42 * 42
1764 + x * x = 89 * 89

Multiply x * x
1764 + x2 = 89 * 89

Multiply 89 * 89
1764 + x2 = 7921

Solving
1764 + x2 = 7921

Solving for variable 'x'.

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

Add '-1764' to each side of the equation.
1764 + -1764 + x2 = 7921 + -1764

Combine like terms: 1764 + -1764 = 0
0 + x2 = 7921 + -1764
x2 = 7921 + -1764

Combine like terms: 7921 + -1764 = 6157
x2 = 6157

Simplifying
x2 = 6157

Take the square root of each side:
x = {-78.466553384, 78.466553384}