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Simplifying
9x2 + 3 + -100 = 0
Reorder the terms:
3 + -100 + 9x2 = 0
Combine like terms: 3 + -100 = -97
-97 + 9x2 = 0
Solving
-97 + 9x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '97' to each side of the equation.
-97 + 97 + 9x2 = 0 + 97
Combine like terms: -97 + 97 = 0
0 + 9x2 = 0 + 97
9x2 = 0 + 97
Combine like terms: 0 + 97 = 97
9x2 = 97
Divide each side by '9'.
x2 = 10.77777778
Simplifying
x2 = 10.77777778
Take the square root of each side:
x = {-3.282952601, 3.282952601}
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