3x^2-11=38

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Solution for 3x^2-11=38 equation:


Simplifying
3x2 + -11 = 38

Reorder the terms:
-11 + 3x2 = 38

Solving
-11 + 3x2 = 38

Solving for variable 'x'.

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

Add '11' to each side of the equation.
-11 + 11 + 3x2 = 38 + 11

Combine like terms: -11 + 11 = 0
0 + 3x2 = 38 + 11
3x2 = 38 + 11

Combine like terms: 38 + 11 = 49
3x2 = 49

Divide each side by '3'.
x2 = 16.33333333

Simplifying
x2 = 16.33333333

Take the square root of each side:
x = {-4.041451884, 4.041451884}

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