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Simplifying
(6y2 + -5y + 8) + -1(8y2 + -5y + 5) = 0
Reorder the terms:
(8 + -5y + 6y2) + -1(8y2 + -5y + 5) = 0
Remove parenthesis around (8 + -5y + 6y2)
8 + -5y + 6y2 + -1(8y2 + -5y + 5) = 0
Reorder the terms:
8 + -5y + 6y2 + -1(5 + -5y + 8y2) = 0
8 + -5y + 6y2 + (5 * -1 + -5y * -1 + 8y2 * -1) = 0
8 + -5y + 6y2 + (-5 + 5y + -8y2) = 0
Reorder the terms:
8 + -5 + -5y + 5y + 6y2 + -8y2 = 0
Combine like terms: 8 + -5 = 3
3 + -5y + 5y + 6y2 + -8y2 = 0
Combine like terms: -5y + 5y = 0
3 + 0 + 6y2 + -8y2 = 0
3 + 6y2 + -8y2 = 0
Combine like terms: 6y2 + -8y2 = -2y2
3 + -2y2 = 0
Solving
3 + -2y2 = 0
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-3' to each side of the equation.
3 + -3 + -2y2 = 0 + -3
Combine like terms: 3 + -3 = 0
0 + -2y2 = 0 + -3
-2y2 = 0 + -3
Combine like terms: 0 + -3 = -3
-2y2 = -3
Divide each side by '-2'.
y2 = 1.5
Simplifying
y2 = 1.5
Take the square root of each side:
y = {-1.224744871, 1.224744871}
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