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Simplifying
-1[y(y) * 2] = y(y) + -5 + -2y(y)
Reorder the terms for easier multiplication:
-1[2y * y] = y(y) + -5 + -2y(y)
Multiply y * y
-1[2y2] = y(y) + -5 + -2y(y)
Remove brackets around [2y2]
-1 * 2y2 = y(y) + -5 + -2y(y)
Multiply -1 * 2
-2y2 = y(y) + -5 + -2y(y)
Multiply y * y
-2y2 = y2 + -5 + -2y(y)
Multiply y * y
-2y2 = y2 + -5 + -2y2
Reorder the terms:
-2y2 = -5 + y2 + -2y2
Combine like terms: y2 + -2y2 = -1y2
-2y2 = -5 + -1y2
Solving
-2y2 = -5 + -1y2
Solving for variable 'y'.
Move all terms containing y to the left, all other terms to the right.
Add 'y2' to each side of the equation.
-2y2 + y2 = -5 + -1y2 + y2
Combine like terms: -2y2 + y2 = -1y2
-1y2 = -5 + -1y2 + y2
Combine like terms: -1y2 + y2 = 0
-1y2 = -5 + 0
-1y2 = -5
Divide each side by '-1'.
y2 = 5
Simplifying
y2 = 5
Take the square root of each side:
y = {-2.236067978, 2.236067978}
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