2x^2-54=284

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Solution for 2x^2-54=284 equation:


Simplifying
2x2 + -54 = 284

Reorder the terms:
-54 + 2x2 = 284

Solving
-54 + 2x2 = 284

Solving for variable 'x'.

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

Add '54' to each side of the equation.
-54 + 54 + 2x2 = 284 + 54

Combine like terms: -54 + 54 = 0
0 + 2x2 = 284 + 54
2x2 = 284 + 54

Combine like terms: 284 + 54 = 338
2x2 = 338

Divide each side by '2'.
x2 = 169

Simplifying
x2 = 169

Take the square root of each side:
x = {-13, 13}

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