7y=-2y(y+9)

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Solution for 7y=-2y(y+9) equation: 


Simplifying
7y = -2y(y + 9)

Reorder the terms:
7y = -2y(9 + y)
7y = (9 * -2y + y * -2y)
7y = (-18y + -2y2)

Solving
7y = -18y + -2y2

Solving for variable 'y'.

Combine like terms: 7y + 18y = 25y
25y + 2y2 = -18y + -2y2 + 18y + 2y2

Reorder the terms:
25y + 2y2 = -18y + 18y + -2y2 + 2y2

Combine like terms: -18y + 18y = 0
25y + 2y2 = 0 + -2y2 + 2y2
25y + 2y2 = -2y2 + 2y2

Combine like terms: -2y2 + 2y2 = 0
25y + 2y2 = 0

Factor out the Greatest Common Factor (GCF), 'y'.
y(25 + 2y) = 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 + 2y)' equal to zero and attempt to solve:

Simplifying
25 + 2y = 0

Solving
25 + 2y = 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 + 2y = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 2y = 0 + -25
2y = 0 + -25

Combine like terms: 0 + -25 = -25
2y = -25

Divide each side by '2'.
y = -12.5

Simplifying
y = -12.5
Solution
y = {0, -12.5}

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