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Simplifying
9y2 + -24 + 15 = 0
Reorder the terms:
-24 + 15 + 9y2 = 0
Combine like terms: -24 + 15 = -9
-9 + 9y2 = 0
Solving
-9 + 9y2 = 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 + 9y2 = 0 + 9
Combine like terms: -9 + 9 = 0
0 + 9y2 = 0 + 9
9y2 = 0 + 9
Combine like terms: 0 + 9 = 9
9y2 = 9
Divide each side by '9'.
y2 = 1
Simplifying
y2 = 1
Take the square root of each side:
y = {-1, 1}
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