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Simplifying
3y2 + -13 + 4 = 0
Reorder the terms:
-13 + 4 + 3y2 = 0
Combine like terms: -13 + 4 = -9
-9 + 3y2 = 0
Solving
-9 + 3y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '9' to each side of the equation.
-9 + 9 + 3y2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 3y2 = 0 + 9
3y2 = 0 + 9
Combine like terms: 0 + 9 = 9
3y2 = 9
Divide each side by '3'.
y2 = 3
Simplifying
y2 = 3
Take the square root of each side:
y = {-1.732050808, 1.732050808}
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