6x^2-7=47

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Solution for 6x^2-7=47 equation: 


Simplifying
6x2 + -7 = 47

Reorder the terms:
-7 + 6x2 = 47

Solving
-7 + 6x2 = 47

Solving for variable 'x'.

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

Add '7' to each side of the equation.
-7 + 7 + 6x2 = 47 + 7

Combine like terms: -7 + 7 = 0
0 + 6x2 = 47 + 7
6x2 = 47 + 7

Combine like terms: 47 + 7 = 54
6x2 = 54

Divide each side by '6'.
x2 = 9

Simplifying
x2 = 9

Take the square root of each side:
x = {-3, 3}

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