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Simplifying
9y2 + -64 = 0
Reorder the terms:
-64 + 9y2 = 0
Solving
-64 + 9y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '64' to each side of the equation.
-64 + 64 + 9y2 = 0 + 64
Combine like terms: -64 + 64 = 0
0 + 9y2 = 0 + 64
9y2 = 0 + 64
Combine like terms: 0 + 64 = 64
9y2 = 64
Divide each side by '9'.
y2 = 7.111111111
Simplifying
y2 = 7.111111111
Take the square root of each side:
y = {-2.666666667, 2.666666667}
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