3y^2+4y(5-2y)=0

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Solution for 3y^2+4y(5-2y)=0 equation:


Simplifying
3y2 + 4y(5 + -2y) = 0
3y2 + (5 * 4y + -2y * 4y) = 0
3y2 + (20y + -8y2) = 0

Reorder the terms:
20y + 3y2 + -8y2 = 0

Combine like terms: 3y2 + -8y2 = -5y2
20y + -5y2 = 0

Solving
20y + -5y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '5y'.
5y(4 + -1y) = 0

Ignore the factor 5.

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 '(4 + -1y)' equal to zero and attempt to solve: Simplifying 4 + -1y = 0 Solving 4 + -1y = 0 Move all terms containing y to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + -1y = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -1y = 0 + -4 -1y = 0 + -4 Combine like terms: 0 + -4 = -4 -1y = -4 Divide each side by '-1'. y = 4 Simplifying y = 4

Solution

y = {0, 4}

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