4y(2-y)+3y^2=

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Solution for 4y(2-y)+3y^2= equation:


Simplifying
4y(2 + -1y) + 3y2 = 0
(2 * 4y + -1y * 4y) + 3y2 = 0
(8y + -4y2) + 3y2 = 0

Combine like terms: -4y2 + 3y2 = -1y2
8y + -1y2 = 0

Solving
8y + -1y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(8 + -1y) = 0

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 '(8 + -1y)' equal to zero and attempt to solve: Simplifying 8 + -1y = 0 Solving 8 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + -1y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -1y = 0 + -8 -1y = 0 + -8 Combine like terms: 0 + -8 = -8 -1y = -8 Divide each side by '-1'. y = 8 Simplifying y = 8

Solution

y = {0, 8}

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