G(3y)=(3y)-2(3y)squared

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Solution for G(3y)=(3y)-2(3y)squared equation:


Simplifying
G(3y) = (3y) + -2(3y) * squared

Remove parenthesis around (3y)
G * 3y = (3y) + -2(3y) * squared

Reorder the terms for easier multiplication:
3G * y = (3y) + -2(3y) * squared

Multiply G * y
3yG = (3y) + -2(3y) * squared

Remove parenthesis around (3y)
3yG = (3y) + -2 * 3y * squared

Multiply -2 * 3
3yG = (3y) + -6y * adeqrsu

Multiply y * adeqrsu
3yG = (3y) + -6adeqrsuy

Reorder the terms:
3yG = -6adeqrsuy + (3y)

Solving
3yG = -6adeqrsuy + (3y)

Solving for variable 'y'.

Move all terms containing y to the left, all other terms to the right.

Add '6adeqrsuy' to each side of the equation.
6adeqrsuy + 3yG = -6adeqrsuy + 6adeqrsuy + (3y)

Combine like terms: -6adeqrsuy + 6adeqrsuy = 0
6adeqrsuy + 3yG = 0 + (3y)
6adeqrsuy + 3yG = (3y)

Add '(-3y)' to each side of the equation.
6adeqrsuy + (-3y) + 3yG = (3y) + (-3y)

Combine like terms: (3y) + (-3y) = 0
6adeqrsuy + (-3y) + 3yG = 0

Factor out the Greatest Common Factor (GCF), '3y'.
3y(2adeqrsu + -1 + G) = 0

Ignore the factor 3.

Subproblem 1

Set the factor 'y' equal to zero and attempt to solve: Simplifying y = 0 Solving y = 0 Move all terms containing y to the left, all other terms to the right. Simplifying y = 0

Subproblem 2

Set the factor '(2adeqrsu + -1 + G)' equal to zero and attempt to solve: Simplifying 2adeqrsu + -1 + G = 0 Reorder the terms: -1 + G + 2adeqrsu = 0 Solving -1 + G + 2adeqrsu = 0 Move all terms containing y to the left, all other terms to the right. Add '1' to each side of the equation. -1 + G + 1 + 2adeqrsu = 0 + 1 Reorder the terms: -1 + 1 + G + 2adeqrsu = 0 + 1 Combine like terms: -1 + 1 = 0 0 + G + 2adeqrsu = 0 + 1 G + 2adeqrsu = 0 + 1 Combine like terms: 0 + 1 = 1 G + 2adeqrsu = 1 Add '-1G' to each side of the equation. G + -1G + 2adeqrsu = 1 + -1G Combine like terms: G + -1G = 0 0 + 2adeqrsu = 1 + -1G 2adeqrsu = 1 + -1G Add '-2adeqrsu' to each side of the equation. 2adeqrsu + -2adeqrsu = 1 + -1G + -2adeqrsu Combine like terms: 2adeqrsu + -2adeqrsu = 0 0 = 1 + -1G + -2adeqrsu Simplifying 0 = 1 + -1G + -2adeqrsu The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

y = {0}

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