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Simplifying
-8y(-1y + -10) = 10y2 + 80y
Reorder the terms:
-8y(-10 + -1y) = 10y2 + 80y
(-10 * -8y + -1y * -8y) = 10y2 + 80y
(80y + 8y2) = 10y2 + 80y
Reorder the terms:
80y + 8y2 = 80y + 10y2
Add '-80y' to each side of the equation.
80y + -80y + 8y2 = 80y + -80y + 10y2
Combine like terms: 80y + -80y = 0
0 + 8y2 = 80y + -80y + 10y2
8y2 = 80y + -80y + 10y2
Combine like terms: 80y + -80y = 0
8y2 = 0 + 10y2
8y2 = 10y2
Solving
8y2 = 10y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add '-10y2' to each side of the equation.
8y2 + -10y2 = 10y2 + -10y2
Combine like terms: 8y2 + -10y2 = -2y2
-2y2 = 10y2 + -10y2
Combine like terms: 10y2 + -10y2 = 0
-2y2 = 0
Divide each side by '-2'.
y2 = 0
Simplifying
y2 = 0
Take the square root of each side:
y = {0}
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