15y=14y(y+8)

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Solution for 15y=14y(y+8) equation: 


Simplifying
15y = 14y(y + 8)

Reorder the terms:
15y = 14y(8 + y)
15y = (8 * 14y + y * 14y)
15y = (112y + 14y2)

Solving
15y = 112y + 14y2

Solving for variable 'y'.

Combine like terms: 15y + -112y = -97y
-97y + -14y2 = 112y + 14y2 + -112y + -14y2

Reorder the terms:
-97y + -14y2 = 112y + -112y + 14y2 + -14y2

Combine like terms: 112y + -112y = 0
-97y + -14y2 = 0 + 14y2 + -14y2
-97y + -14y2 = 14y2 + -14y2

Combine like terms: 14y2 + -14y2 = 0
-97y + -14y2 = 0

Factor out the Greatest Common Factor (GCF), '-1y'.
-1y(97 + 14y) = 0

Ignore the factor -1.

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 '(97 + 14y)' equal to zero and attempt to solve:

Simplifying
97 + 14y = 0

Solving
97 + 14y = 0

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

Add '-97' to each side of the equation.
97 + -97 + 14y = 0 + -97

Combine like terms: 97 + -97 = 0
0 + 14y = 0 + -97
14y = 0 + -97

Combine like terms: 0 + -97 = -97
14y = -97

Divide each side by '14'.
y = -6.928571429

Simplifying
y = -6.928571429
Solution
y = {0, -6.928571429}

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