25y=10y^2

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Solution for 25y=10y^2 equation:


Simplifying
25y = 10y2

Solving
25y = 10y2

Solving for variable 'y'.

Combine like terms: 10y2 + -10y2 = 0
25y + -10y2 = 0

Factor out the Greatest Common Factor (GCF), '5y'.
5y(5 + -2y) = 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 '(5 + -2y)' equal to zero and attempt to solve: Simplifying 5 + -2y = 0 Solving 5 + -2y = 0 Move all terms containing y to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -2y = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -2y = 0 + -5 -2y = 0 + -5 Combine like terms: 0 + -5 = -5 -2y = -5 Divide each side by '-2'. y = 2.5 Simplifying y = 2.5

Solution

y = {0, 2.5}

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