0=5y^2-47y

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Solution for 0=5y^2-47y equation: 


Simplifying
0 = 5y2 + -47y

Reorder the terms:
0 = -47y + 5y2

Solving
0 = -47y + 5y2

Solving for variable 'y'.
Remove the zero:
47y + -5y2 = -47y + 5y2 + 47y + -5y2

Reorder the terms:
47y + -5y2 = -47y + 47y + 5y2 + -5y2

Combine like terms: -47y + 47y = 0
47y + -5y2 = 0 + 5y2 + -5y2
47y + -5y2 = 5y2 + -5y2

Combine like terms: 5y2 + -5y2 = 0
47y + -5y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(47 + -5y) = 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 '(47 + -5y)' equal to zero and attempt to solve:

Simplifying
47 + -5y = 0

Solving
47 + -5y = 0

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

Add '-47' to each side of the equation.
47 + -47 + -5y = 0 + -47

Combine like terms: 47 + -47 = 0
0 + -5y = 0 + -47
-5y = 0 + -47

Combine like terms: 0 + -47 = -47
-5y = -47

Divide each side by '-5'.
y = 9.4

Simplifying
y = 9.4
Solution
y = {0, 9.4}

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