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Simplifying
(x)(2x) + 11 = 173
Remove parenthesis around (2x)
x * 2x + 11 = 173
Reorder the terms for easier multiplication:
2x * x + 11 = 173
Multiply x * x
2x2 + 11 = 173
Reorder the terms:
11 + 2x2 = 173
Solving
11 + 2x2 = 173
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-11' to each side of the equation.
11 + -11 + 2x2 = 173 + -11
Combine like terms: 11 + -11 = 0
0 + 2x2 = 173 + -11
2x2 = 173 + -11
Combine like terms: 173 + -11 = 162
2x2 = 162
Divide each side by '2'.
x2 = 81
Simplifying
x2 = 81
Take the square root of each side:
x = {-9, 9}
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