5*x^2-2=0

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Solution for 5*x^2-2=0 equation: 


Simplifying
5x2 + -2 = 0

Reorder the terms:
-2 + 5x2 = 0

Solving
-2 + 5x2 = 0

Solving for variable 'x'.

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

Add '2' to each side of the equation.
-2 + 2 + 5x2 = 0 + 2

Combine like terms: -2 + 2 = 0
0 + 5x2 = 0 + 2
5x2 = 0 + 2

Combine like terms: 0 + 2 = 2
5x2 = 2

Divide each side by '5'.
x2 = 0.4

Simplifying
x2 = 0.4

Take the square root of each side:
x = {-0.632455532, 0.632455532}

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