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Simplifying
3x2 + -7 = 47
Reorder the terms:
-7 + 3x2 = 47
Solving
-7 + 3x2 = 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 + 3x2 = 47 + 7
Combine like terms: -7 + 7 = 0
0 + 3x2 = 47 + 7
3x2 = 47 + 7
Combine like terms: 47 + 7 = 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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