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Simplifying
7y2 + 3 + 3y2 + -8 = 0
Reorder the terms:
3 + -8 + 7y2 + 3y2 = 0
Combine like terms: 3 + -8 = -5
-5 + 7y2 + 3y2 = 0
Combine like terms: 7y2 + 3y2 = 10y2
-5 + 10y2 = 0
Solving
-5 + 10y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '5' to each side of the equation.
-5 + 5 + 10y2 = 0 + 5
Combine like terms: -5 + 5 = 0
0 + 10y2 = 0 + 5
10y2 = 0 + 5
Combine like terms: 0 + 5 = 5
10y2 = 5
Divide each side by '10'.
y2 = 0.5
Simplifying
y2 = 0.5
Take the square root of each side:
y = {-0.707106781, 0.707106781}
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