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Simplifying
9y2 + -40 + 16 = 0
Reorder the terms:
-40 + 16 + 9y2 = 0
Combine like terms: -40 + 16 = -24
-24 + 9y2 = 0
Solving
-24 + 9y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '24' to each side of the equation.
-24 + 24 + 9y2 = 0 + 24
Combine like terms: -24 + 24 = 0
0 + 9y2 = 0 + 24
9y2 = 0 + 24
Combine like terms: 0 + 24 = 24
9y2 = 24
Divide each side by '9'.
y2 = 2.666666667
Simplifying
y2 = 2.666666667
Take the square root of each side:
y = {-1.632993162, 1.632993162}
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