5y(2y+1)-3y(2y-1)=

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Solution for 5y(2y+1)-3y(2y-1)= equation:


Simplifying
5y(2y + 1) + -3y(2y + -1) = 0

Reorder the terms:
5y(1 + 2y) + -3y(2y + -1) = 0
(1 * 5y + 2y * 5y) + -3y(2y + -1) = 0
(5y + 10y2) + -3y(2y + -1) = 0

Reorder the terms:
5y + 10y2 + -3y(-1 + 2y) = 0
5y + 10y2 + (-1 * -3y + 2y * -3y) = 0
5y + 10y2 + (3y + -6y2) = 0

Reorder the terms:
5y + 3y + 10y2 + -6y2 = 0

Combine like terms: 5y + 3y = 8y
8y + 10y2 + -6y2 = 0

Combine like terms: 10y2 + -6y2 = 4y2
8y + 4y2 = 0

Solving
8y + 4y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4y'.
4y(2 + y) = 0

Ignore the factor 4.

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 '(2 + y)' equal to zero and attempt to solve: Simplifying 2 + y = 0 Solving 2 + y = 0 Move all terms containing y to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + -2 + y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + y = 0 + -2 y = 0 + -2 Combine like terms: 0 + -2 = -2 y = -2 Simplifying y = -2

Solution

y = {0, -2}

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