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Simplifying
x2 + -18x2 + 32 = 0
Reorder the terms:
32 + x2 + -18x2 = 0
Combine like terms: x2 + -18x2 = -17x2
32 + -17x2 = 0
Solving
32 + -17x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-32' to each side of the equation.
32 + -32 + -17x2 = 0 + -32
Combine like terms: 32 + -32 = 0
0 + -17x2 = 0 + -32
-17x2 = 0 + -32
Combine like terms: 0 + -32 = -32
-17x2 = -32
Divide each side by '-17'.
x2 = 1.882352941
Simplifying
x2 = 1.882352941
Take the square root of each side:
x = {-1.371988681, 1.371988681}
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