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Simplifying
9x2 + -164 = 199 + 6x2
Reorder the terms:
-164 + 9x2 = 199 + 6x2
Solving
-164 + 9x2 = 199 + 6x2
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-6x2' to each side of the equation.
-164 + 9x2 + -6x2 = 199 + 6x2 + -6x2
Combine like terms: 9x2 + -6x2 = 3x2
-164 + 3x2 = 199 + 6x2 + -6x2
Combine like terms: 6x2 + -6x2 = 0
-164 + 3x2 = 199 + 0
-164 + 3x2 = 199
Add '164' to each side of the equation.
-164 + 164 + 3x2 = 199 + 164
Combine like terms: -164 + 164 = 0
0 + 3x2 = 199 + 164
3x2 = 199 + 164
Combine like terms: 199 + 164 = 363
3x2 = 363
Divide each side by '3'.
x2 = 121
Simplifying
x2 = 121
Take the square root of each side:
x = {-11, 11}
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