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Simplifying
36y2 + -84 + -147 = 0
Reorder the terms:
-84 + -147 + 36y2 = 0
Combine like terms: -84 + -147 = -231
-231 + 36y2 = 0
Solving
-231 + 36y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '231' to each side of the equation.
-231 + 231 + 36y2 = 0 + 231
Combine like terms: -231 + 231 = 0
0 + 36y2 = 0 + 231
36y2 = 0 + 231
Combine like terms: 0 + 231 = 231
36y2 = 231
Divide each side by '36'.
y2 = 6.416666667
Simplifying
y2 = 6.416666667
Take the square root of each side:
y = {-2.533114026, 2.533114026}
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