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Simplifying
(6y2 + -9y + 4) + -1(4y2 + -9y + 8) = 0
Reorder the terms:
(4 + -9y + 6y2) + -1(4y2 + -9y + 8) = 0
Remove parenthesis around (4 + -9y + 6y2)
4 + -9y + 6y2 + -1(4y2 + -9y + 8) = 0
Reorder the terms:
4 + -9y + 6y2 + -1(8 + -9y + 4y2) = 0
4 + -9y + 6y2 + (8 * -1 + -9y * -1 + 4y2 * -1) = 0
4 + -9y + 6y2 + (-8 + 9y + -4y2) = 0
Reorder the terms:
4 + -8 + -9y + 9y + 6y2 + -4y2 = 0
Combine like terms: 4 + -8 = -4
-4 + -9y + 9y + 6y2 + -4y2 = 0
Combine like terms: -9y + 9y = 0
-4 + 0 + 6y2 + -4y2 = 0
-4 + 6y2 + -4y2 = 0
Combine like terms: 6y2 + -4y2 = 2y2
-4 + 2y2 = 0
Solving
-4 + 2y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '4' to each side of the equation.
-4 + 4 + 2y2 = 0 + 4
Combine like terms: -4 + 4 = 0
0 + 2y2 = 0 + 4
2y2 = 0 + 4
Combine like terms: 0 + 4 = 4
2y2 = 4
Divide each side by '2'.
y2 = 2
Simplifying
y2 = 2
Take the square root of each side:
y = {-1.414213562, 1.414213562}
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