5y=20y^2

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Solution for 5y=20y^2 equation:


Simplifying
5y = 20y2

Solving
5y = 20y2

Solving for variable 'y'.

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

Factor out the Greatest Common Factor (GCF), '5y'.
5y(1 + -4y) = 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 '(1 + -4y)' equal to zero and attempt to solve: Simplifying 1 + -4y = 0 Solving 1 + -4y = 0 Move all terms containing y to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -4y = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -4y = 0 + -1 -4y = 0 + -1 Combine like terms: 0 + -1 = -1 -4y = -1 Divide each side by '-4'. y = 0.25 Simplifying y = 0.25

Solution

y = {0, 0.25}

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