y^2-10y^2+25y=0

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


Simplifying
y2 + -10y2 + 25y = 0

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

Combine like terms: y2 + -10y2 = -9y2
25y + -9y2 = 0

Solving
25y + -9y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), 'y'.
y(25 + -9y) = 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 '(25 + -9y)' equal to zero and attempt to solve:

Simplifying
25 + -9y = 0

Solving
25 + -9y = 0

Move all terms containing y to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -9y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + -9y = 0 + -25
-9y = 0 + -25

Combine like terms: 0 + -25 = -25
-9y = -25

Divide each side by '-9'.
y = 2.777777778

Simplifying
y = 2.777777778
Solution
y = {0, 2.777777778}

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