10y^2-30y+25=25

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Solution for 10y^2-30y+25=25 equation: 


Simplifying
10y2 + -30y + 25 = 25

Reorder the terms:
25 + -30y + 10y2 = 25

Add '-25' to each side of the equation.
25 + -30y + -25 + 10y2 = 25 + -25

Reorder the terms:
25 + -25 + -30y + 10y2 = 25 + -25

Combine like terms: 25 + -25 = 0
0 + -30y + 10y2 = 25 + -25
-30y + 10y2 = 25 + -25

Combine like terms: 25 + -25 = 0
-30y + 10y2 = 0

Solving
-30y + 10y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '10y'.
10y(-3 + y) = 0

Ignore the factor 10.

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 '(-3 + y)' equal to zero and attempt to solve:

Simplifying
-3 + y = 0

Solving
-3 + y = 0

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

Add '3' to each side of the equation.
-3 + 3 + y = 0 + 3

Combine like terms: -3 + 3 = 0
0 + y = 0 + 3
y = 0 + 3

Combine like terms: 0 + 3 = 3
y = 3

Simplifying
y = 3
Solution
y = {0, 3}

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