5x^2-2=78

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Solution for 5x^2-2=78 equation: 


Simplifying
5x2 + -2 = 78

Reorder the terms:
-2 + 5x2 = 78

Solving
-2 + 5x2 = 78

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 = 78 + 2

Combine like terms: -2 + 2 = 0
0 + 5x2 = 78 + 2
5x2 = 78 + 2

Combine like terms: 78 + 2 = 80
5x2 = 80

Divide each side by '5'.
x2 = 16

Simplifying
x2 = 16

Take the square root of each side:
x = {-4, 4}

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