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Simplifying
12y2 + 0y + -27 = 0
Anything times zero is zero.
12y2 + 0y + -27 = 0
Reorder the terms:
0 + -27 + 12y2 = 0
Combine like terms: 0 + -27 = -27
-27 + 12y2 = 0
Solving
-27 + 12y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '27' to each side of the equation.
-27 + 27 + 12y2 = 0 + 27
Combine like terms: -27 + 27 = 0
0 + 12y2 = 0 + 27
12y2 = 0 + 27
Combine like terms: 0 + 27 = 27
12y2 = 27
Divide each side by '12'.
y2 = 2.25
Simplifying
y2 = 2.25
Take the square root of each side:
y = {-1.5, 1.5}
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