3x^2-17=37

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Solution for 3x^2-17=37 equation:


Simplifying
3x2 + -17 = 37

Reorder the terms:
-17 + 3x2 = 37

Solving
-17 + 3x2 = 37

Solving for variable 'x'.

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

Add '17' to each side of the equation.
-17 + 17 + 3x2 = 37 + 17

Combine like terms: -17 + 17 = 0
0 + 3x2 = 37 + 17
3x2 = 37 + 17

Combine like terms: 37 + 17 = 54
3x2 = 54

Divide each side by '3'.
x2 = 18

Simplifying
x2 = 18

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

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