2x^2-3=47

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Solution for 2x^2-3=47 equation: 


Simplifying
2x2 + -3 = 47

Reorder the terms:
-3 + 2x2 = 47

Solving
-3 + 2x2 = 47

Solving for variable 'x'.

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

Add '3' to each side of the equation.
-3 + 3 + 2x2 = 47 + 3

Combine like terms: -3 + 3 = 0
0 + 2x2 = 47 + 3
2x2 = 47 + 3

Combine like terms: 47 + 3 = 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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