82=5x^2-8

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Solution for 82=5x^2-8 equation:


Simplifying
82 = 5x2 + -8

Reorder the terms:
82 = -8 + 5x2

Solving
82 = -8 + 5x2

Solving for variable 'x'.

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

Add '-5x2' to each side of the equation.
82 + -5x2 = -8 + 5x2 + -5x2

Combine like terms: 5x2 + -5x2 = 0
82 + -5x2 = -8 + 0
82 + -5x2 = -8

Add '-82' to each side of the equation.
82 + -82 + -5x2 = -8 + -82

Combine like terms: 82 + -82 = 0
0 + -5x2 = -8 + -82
-5x2 = -8 + -82

Combine like terms: -8 + -82 = -90
-5x2 = -90

Divide each side by '-5'.
x2 = 18

Simplifying
x2 = 18

Take the square root of each side:
x = {-4.242640687, 4.242640687}

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