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Simplifying
17x2 + 16 = 101
Reorder the terms:
16 + 17x2 = 101
Solving
16 + 17x2 = 101
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-16' to each side of the equation.
16 + -16 + 17x2 = 101 + -16
Combine like terms: 16 + -16 = 0
0 + 17x2 = 101 + -16
17x2 = 101 + -16
Combine like terms: 101 + -16 = 85
17x2 = 85
Divide each side by '17'.
x2 = 5
Simplifying
x2 = 5
Take the square root of each side:
x = {-2.236067978, 2.236067978}
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