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Simplifying
(8y2 + -3y + 7) + -1(7y2 + -3y + 9) = 0
Reorder the terms:
(7 + -3y + 8y2) + -1(7y2 + -3y + 9) = 0
Remove parenthesis around (7 + -3y + 8y2)
7 + -3y + 8y2 + -1(7y2 + -3y + 9) = 0
Reorder the terms:
7 + -3y + 8y2 + -1(9 + -3y + 7y2) = 0
7 + -3y + 8y2 + (9 * -1 + -3y * -1 + 7y2 * -1) = 0
7 + -3y + 8y2 + (-9 + 3y + -7y2) = 0
Reorder the terms:
7 + -9 + -3y + 3y + 8y2 + -7y2 = 0
Combine like terms: 7 + -9 = -2
-2 + -3y + 3y + 8y2 + -7y2 = 0
Combine like terms: -3y + 3y = 0
-2 + 0 + 8y2 + -7y2 = 0
-2 + 8y2 + -7y2 = 0
Combine like terms: 8y2 + -7y2 = 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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