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Simplifying
2x2 + -26 = 102
Reorder the terms:
-26 + 2x2 = 102
Solving
-26 + 2x2 = 102
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '26' to each side of the equation.
-26 + 26 + 2x2 = 102 + 26
Combine like terms: -26 + 26 = 0
0 + 2x2 = 102 + 26
2x2 = 102 + 26
Combine like terms: 102 + 26 = 128
2x2 = 128
Divide each side by '2'.
x2 = 64
Simplifying
x2 = 64
Take the square root of each side:
x = {-8, 8}
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