3x^2-6=42

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Solution for 3x^2-6=42 equation: 


Simplifying
3x2 + -6 = 42

Reorder the terms:
-6 + 3x2 = 42

Solving
-6 + 3x2 = 42

Solving for variable 'x'.

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

Add '6' to each side of the equation.
-6 + 6 + 3x2 = 42 + 6

Combine like terms: -6 + 6 = 0
0 + 3x2 = 42 + 6
3x2 = 42 + 6

Combine like terms: 42 + 6 = 48
3x2 = 48

Divide each side by '3'.
x2 = 16

Simplifying
x2 = 16

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

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