0=25y^2-10y

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Solution for 0=25y^2-10y equation:


Simplifying
0 = 25y2 + -10y

Reorder the terms:
0 = -10y + 25y2

Solving
0 = -10y + 25y2

Solving for variable 'y'.
Remove the zero:
10y + -25y2 = -10y + 25y2 + 10y + -25y2

Reorder the terms:
10y + -25y2 = -10y + 10y + 25y2 + -25y2

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

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

Factor out the Greatest Common Factor (GCF), '5y'.
5y(2 + -5y) = 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 '(2 + -5y)' equal to zero and attempt to solve: Simplifying 2 + -5y = 0 Solving 2 + -5y = 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 + -5y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + -5y = 0 + -2 -5y = 0 + -2 Combine like terms: 0 + -2 = -2 -5y = -2 Divide each side by '-5'. y = 0.4 Simplifying y = 0.4

Solution

y = {0, 0.4}

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