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Simplifying
2y2 + 0y + -1 = 0
Anything times zero is zero.
2y2 + 0y + -1 = 0
Reorder the terms:
0 + -1 + 2y2 = 0
Combine like terms: 0 + -1 = -1
-1 + 2y2 = 0
Solving
-1 + 2y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '1' to each side of the equation.
-1 + 1 + 2y2 = 0 + 1
Combine like terms: -1 + 1 = 0
0 + 2y2 = 0 + 1
2y2 = 0 + 1
Combine like terms: 0 + 1 = 1
2y2 = 1
Divide each side by '2'.
y2 = 0.5
Simplifying
y2 = 0.5
Take the square root of each side:
y = {-0.707106781, 0.707106781}
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