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Simplifying
3x2 + -61 = 47
Reorder the terms:
-61 + 3x2 = 47
Solving
-61 + 3x2 = 47
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '61' to each side of the equation.
-61 + 61 + 3x2 = 47 + 61
Combine like terms: -61 + 61 = 0
0 + 3x2 = 47 + 61
3x2 = 47 + 61
Combine like terms: 47 + 61 = 108
3x2 = 108
Divide each side by '3'.
x2 = 36
Simplifying
x2 = 36
Take the square root of each side:
x = {-6, 6}
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