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Simplifying
x2 + 17 + -84 = 0
Reorder the terms:
17 + -84 + x2 = 0
Combine like terms: 17 + -84 = -67
-67 + x2 = 0
Solving
-67 + x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '67' to each side of the equation.
-67 + 67 + x2 = 0 + 67
Combine like terms: -67 + 67 = 0
0 + x2 = 0 + 67
x2 = 0 + 67
Combine like terms: 0 + 67 = 67
x2 = 67
Simplifying
x2 = 67
Take the square root of each side:
x = {-8.185352772, 8.185352772}
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