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Simplifying
(9y2 + -9y + 2) + -1(4y2 + -9y + 9) = 0
Reorder the terms:
(2 + -9y + 9y2) + -1(4y2 + -9y + 9) = 0
Remove parenthesis around (2 + -9y + 9y2)
2 + -9y + 9y2 + -1(4y2 + -9y + 9) = 0
Reorder the terms:
2 + -9y + 9y2 + -1(9 + -9y + 4y2) = 0
2 + -9y + 9y2 + (9 * -1 + -9y * -1 + 4y2 * -1) = 0
2 + -9y + 9y2 + (-9 + 9y + -4y2) = 0
Reorder the terms:
2 + -9 + -9y + 9y + 9y2 + -4y2 = 0
Combine like terms: 2 + -9 = -7
-7 + -9y + 9y + 9y2 + -4y2 = 0
Combine like terms: -9y + 9y = 0
-7 + 0 + 9y2 + -4y2 = 0
-7 + 9y2 + -4y2 = 0
Combine like terms: 9y2 + -4y2 = 5y2
-7 + 5y2 = 0
Solving
-7 + 5y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '7' to each side of the equation.
-7 + 7 + 5y2 = 0 + 7
Combine like terms: -7 + 7 = 0
0 + 5y2 = 0 + 7
5y2 = 0 + 7
Combine like terms: 0 + 7 = 7
5y2 = 7
Divide each side by '5'.
y2 = 1.4
Simplifying
y2 = 1.4
Take the square root of each side:
y = {-1.183215957, 1.183215957}
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