(7-2y)(9-6y)=0

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Solution for (7-2y)(9-6y)=0 equation: 


Simplifying
(7 + -2y)(9 + -6y) = 0

Multiply (7 + -2y) * (9 + -6y)
(7(9 + -6y) + -2y * (9 + -6y)) = 0
((9 * 7 + -6y * 7) + -2y * (9 + -6y)) = 0
((63 + -42y) + -2y * (9 + -6y)) = 0
(63 + -42y + (9 * -2y + -6y * -2y)) = 0
(63 + -42y + (-18y + 12y2)) = 0

Combine like terms: -42y + -18y = -60y
(63 + -60y + 12y2) = 0

Solving
63 + -60y + 12y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '3'.
3(21 + -20y + 4y2) = 0

Factor a trinomial.
3((3 + -2y)(7 + -2y)) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(3 + -2y)' equal to zero and attempt to solve:

Simplifying
3 + -2y = 0

Solving
3 + -2y = 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 + -2y = 0 + -3

Combine like terms: 3 + -3 = 0
0 + -2y = 0 + -3
-2y = 0 + -3

Combine like terms: 0 + -3 = -3
-2y = -3

Divide each side by '-2'.
y = 1.5

Simplifying
y = 1.5

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

Simplifying
7 + -2y = 0

Solving
7 + -2y = 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 + -2y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -2y = 0 + -7
-2y = 0 + -7

Combine like terms: 0 + -7 = -7
-2y = -7

Divide each side by '-2'.
y = 3.5

Simplifying
y = 3.5
Solution
y = {1.5, 3.5}

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