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Simplifying
2x2 + -13 = 9
Reorder the terms:
-13 + 2x2 = 9
Solving
-13 + 2x2 = 9
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '13' to each side of the equation.
-13 + 13 + 2x2 = 9 + 13
Combine like terms: -13 + 13 = 0
0 + 2x2 = 9 + 13
2x2 = 9 + 13
Combine like terms: 9 + 13 = 22
2x2 = 22
Divide each side by '2'.
x2 = 11
Simplifying
x2 = 11
Take the square root of each side:
x = {-3.31662479, 3.31662479}
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