(2y-7)(2y-3)=

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Solution for (2y-7)(2y-3)= equation: 


Simplifying
(2y + -7)(2y + -3) = 0

Reorder the terms:
(-7 + 2y)(2y + -3) = 0

Reorder the terms:
(-7 + 2y)(-3 + 2y) = 0

Multiply (-7 + 2y) * (-3 + 2y)
(-7(-3 + 2y) + 2y * (-3 + 2y)) = 0
((-3 * -7 + 2y * -7) + 2y * (-3 + 2y)) = 0
((21 + -14y) + 2y * (-3 + 2y)) = 0
(21 + -14y + (-3 * 2y + 2y * 2y)) = 0
(21 + -14y + (-6y + 4y2)) = 0

Combine like terms: -14y + -6y = -20y
(21 + -20y + 4y2) = 0

Solving
21 + -20y + 4y2 = 0

Solving for variable 'y'.

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


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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