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Simplifying
8x2 + -22 + 5 = 0
Reorder the terms:
-22 + 5 + 8x2 = 0
Combine like terms: -22 + 5 = -17
-17 + 8x2 = 0
Solving
-17 + 8x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '17' to each side of the equation.
-17 + 17 + 8x2 = 0 + 17
Combine like terms: -17 + 17 = 0
0 + 8x2 = 0 + 17
8x2 = 0 + 17
Combine like terms: 0 + 17 = 17
8x2 = 17
Divide each side by '8'.
x2 = 2.125
Simplifying
x2 = 2.125
Take the square root of each side:
x = {-1.457737974, 1.457737974}
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