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Simplifying
2x2 + 10 + -17 = 0
Reorder the terms:
10 + -17 + 2x2 = 0
Combine like terms: 10 + -17 = -7
-7 + 2x2 = 0
Solving
-7 + 2x2 = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 2x2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 2x2 = 0 + 7
2x2 = 0 + 7
Combine like terms: 0 + 7 = 7
2x2 = 7
Divide each side by '2'.
x2 = 3.5
Simplifying
x2 = 3.5
Take the square root of each side:
x = {-1.870828693, 1.870828693}
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