9y(7y+12)=7(16y+5)

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Solution for 9y(7y+12)=7(16y+5) equation: 


Simplifying
9y(7y + 12) = 7(16y + 5)

Reorder the terms:
9y(12 + 7y) = 7(16y + 5)
(12 * 9y + 7y * 9y) = 7(16y + 5)
(108y + 63y2) = 7(16y + 5)

Reorder the terms:
108y + 63y2 = 7(5 + 16y)
108y + 63y2 = (5 * 7 + 16y * 7)
108y + 63y2 = (35 + 112y)

Solving
108y + 63y2 = 35 + 112y

Solving for variable 'y'.

Reorder the terms:
-35 + 108y + -112y + 63y2 = 35 + 112y + -35 + -112y

Combine like terms: 108y + -112y = -4y
-35 + -4y + 63y2 = 35 + 112y + -35 + -112y

Reorder the terms:
-35 + -4y + 63y2 = 35 + -35 + 112y + -112y

Combine like terms: 35 + -35 = 0
-35 + -4y + 63y2 = 0 + 112y + -112y
-35 + -4y + 63y2 = 112y + -112y

Combine like terms: 112y + -112y = 0
-35 + -4y + 63y2 = 0

Factor a trinomial.
(-5 + -7y)(7 + -9y) = 0


Subproblem 1
Set the factor '(-5 + -7y)' equal to zero and attempt to solve:

Simplifying
-5 + -7y = 0

Solving
-5 + -7y = 0

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

Add '5' to each side of the equation.
-5 + 5 + -7y = 0 + 5

Combine like terms: -5 + 5 = 0
0 + -7y = 0 + 5
-7y = 0 + 5

Combine like terms: 0 + 5 = 5
-7y = 5

Divide each side by '-7'.
y = -0.7142857143

Simplifying
y = -0.7142857143

Subproblem 2
Set the factor '(7 + -9y)' equal to zero and attempt to solve:

Simplifying
7 + -9y = 0

Solving
7 + -9y = 0

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

Add '-7' to each side of the equation.
7 + -7 + -9y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -9y = 0 + -7
-9y = 0 + -7

Combine like terms: 0 + -7 = -7
-9y = -7

Divide each side by '-9'.
y = 0.7777777778

Simplifying
y = 0.7777777778
Solution
y = {-0.7142857143, 0.7777777778}

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