2x^2-49=1

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Solution for 2x^2-49=1 equation: 


Simplifying
2x2 + -49 = 1

Reorder the terms:
-49 + 2x2 = 1

Solving
-49 + 2x2 = 1

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '49' to each side of the equation.
-49 + 49 + 2x2 = 1 + 49

Combine like terms: -49 + 49 = 0
0 + 2x2 = 1 + 49
2x2 = 1 + 49

Combine like terms: 1 + 49 = 50
2x2 = 50

Divide each side by '2'.
x2 = 25

Simplifying
x2 = 25

Take the square root of each side:
x = {-5, 5}

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