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Simplifying
(8y2 + -7y + 8) + -1(9y2 + -7y + 6) = 0
Reorder the terms:
(8 + -7y + 8y2) + -1(9y2 + -7y + 6) = 0
Remove parenthesis around (8 + -7y + 8y2)
8 + -7y + 8y2 + -1(9y2 + -7y + 6) = 0
Reorder the terms:
8 + -7y + 8y2 + -1(6 + -7y + 9y2) = 0
8 + -7y + 8y2 + (6 * -1 + -7y * -1 + 9y2 * -1) = 0
8 + -7y + 8y2 + (-6 + 7y + -9y2) = 0
Reorder the terms:
8 + -6 + -7y + 7y + 8y2 + -9y2 = 0
Combine like terms: 8 + -6 = 2
2 + -7y + 7y + 8y2 + -9y2 = 0
Combine like terms: -7y + 7y = 0
2 + 0 + 8y2 + -9y2 = 0
2 + 8y2 + -9y2 = 0
Combine like terms: 8y2 + -9y2 = -1y2
2 + -1y2 = 0
Solving
2 + -1y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-2' to each side of the equation.
2 + -2 + -1y2 = 0 + -2
Combine like terms: 2 + -2 = 0
0 + -1y2 = 0 + -2
-1y2 = 0 + -2
Combine like terms: 0 + -2 = -2
-1y2 = -2
Divide each side by '-1'.
y2 = 2
Simplifying
y2 = 2
Take the square root of each side:
y = {-1.414213562, 1.414213562}
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