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Simplifying
4y2 + -12y2 + 7 + -2 = 0
Reorder the terms:
7 + -2 + 4y2 + -12y2 = 0
Combine like terms: 7 + -2 = 5
5 + 4y2 + -12y2 = 0
Combine like terms: 4y2 + -12y2 = -8y2
5 + -8y2 = 0
Solving
5 + -8y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-5' to each side of the equation.
5 + -5 + -8y2 = 0 + -5
Combine like terms: 5 + -5 = 0
0 + -8y2 = 0 + -5
-8y2 = 0 + -5
Combine like terms: 0 + -5 = -5
-8y2 = -5
Divide each side by '-8'.
y2 = 0.625
Simplifying
y2 = 0.625
Take the square root of each side:
y = {-0.790569415, 0.790569415}
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