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Simplifying
9x2 + -1 = 24
Reorder the terms:
-1 + 9x2 = 24
Solving
-1 + 9x2 = 24
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 9x2 = 24 + 1
Combine like terms: -1 + 1 = 0
0 + 9x2 = 24 + 1
9x2 = 24 + 1
Combine like terms: 24 + 1 = 25
9x2 = 25
Divide each side by '9'.
x2 = 2.777777778
Simplifying
x2 = 2.777777778
Take the square root of each side:
x = {-1.666666667, 1.666666667}
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