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Simplifying
9x2 + -47 = 0
Reorder the terms:
-47 + 9x2 = 0
Solving
-47 + 9x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '47' to each side of the equation.
-47 + 47 + 9x2 = 0 + 47
Combine like terms: -47 + 47 = 0
0 + 9x2 = 0 + 47
9x2 = 0 + 47
Combine like terms: 0 + 47 = 47
9x2 = 47
Divide each side by '9'.
x2 = 5.222222222
Simplifying
x2 = 5.222222222
Take the square root of each side:
x = {-2.2852182, 2.2852182}
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