(3y-7)(y-7)=0

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Solution for (3y-7)(y-7)=0 equation: 


Simplifying
(3y + -7)(y + -7) = 0

Reorder the terms:
(-7 + 3y)(y + -7) = 0

Reorder the terms:
(-7 + 3y)(-7 + y) = 0

Multiply (-7 + 3y) * (-7 + y)
(-7(-7 + y) + 3y * (-7 + y)) = 0
((-7 * -7 + y * -7) + 3y * (-7 + y)) = 0
((49 + -7y) + 3y * (-7 + y)) = 0
(49 + -7y + (-7 * 3y + y * 3y)) = 0
(49 + -7y + (-21y + 3y2)) = 0

Combine like terms: -7y + -21y = -28y
(49 + -28y + 3y2) = 0

Solving
49 + -28y + 3y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -3y)(7 + -1y) = 0


Subproblem 1
Set the factor '(7 + -3y)' equal to zero and attempt to solve:

Simplifying
7 + -3y = 0

Solving
7 + -3y = 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 + -3y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -3y = 0 + -7
-3y = 0 + -7

Combine like terms: 0 + -7 = -7
-3y = -7

Divide each side by '-3'.
y = 2.333333333

Simplifying
y = 2.333333333

Subproblem 2
Set the factor '(7 + -1y)' equal to zero and attempt to solve:

Simplifying
7 + -1y = 0

Solving
7 + -1y = 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 + -1y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -1y = 0 + -7
-1y = 0 + -7

Combine like terms: 0 + -7 = -7
-1y = -7

Divide each side by '-1'.
y = 7

Simplifying
y = 7
Solution
y = {2.333333333, 7}

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