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Simplifying
3x2 + -17 = x2 + 81
Reorder the terms:
-17 + 3x2 = x2 + 81
Reorder the terms:
-17 + 3x2 = 81 + x2
Solving
-17 + 3x2 = 81 + x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-1x2' to each side of the equation.
-17 + 3x2 + -1x2 = 81 + x2 + -1x2
Combine like terms: 3x2 + -1x2 = 2x2
-17 + 2x2 = 81 + x2 + -1x2
Combine like terms: x2 + -1x2 = 0
-17 + 2x2 = 81 + 0
-17 + 2x2 = 81
Add '17' to each side of the equation.
-17 + 17 + 2x2 = 81 + 17
Combine like terms: -17 + 17 = 0
0 + 2x2 = 81 + 17
2x2 = 81 + 17
Combine like terms: 81 + 17 = 98
2x2 = 98
Divide each side by '2'.
x2 = 49
Simplifying
x2 = 49
Take the square root of each side:
x = {-7, 7}
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