5x^2-2=38

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Solution for 5x^2-2=38 equation:


Simplifying
5x2 + -2 = 38

Reorder the terms:
-2 + 5x2 = 38

Solving
-2 + 5x2 = 38

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 = 38 + 2

Combine like terms: -2 + 2 = 0
0 + 5x2 = 38 + 2
5x2 = 38 + 2

Combine like terms: 38 + 2 = 40
5x2 = 40

Divide each side by '5'.
x2 = 8

Simplifying
x2 = 8

Take the square root of each side:
x = {-2.828427125, 2.828427125}

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