(4y-7)(4y-11)=0

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Solution for (4y-7)(4y-11)=0 equation: 


Simplifying
(4y + -7)(4y + -11) = 0

Reorder the terms:
(-7 + 4y)(4y + -11) = 0

Reorder the terms:
(-7 + 4y)(-11 + 4y) = 0

Multiply (-7 + 4y) * (-11 + 4y)
(-7(-11 + 4y) + 4y * (-11 + 4y)) = 0
((-11 * -7 + 4y * -7) + 4y * (-11 + 4y)) = 0
((77 + -28y) + 4y * (-11 + 4y)) = 0
(77 + -28y + (-11 * 4y + 4y * 4y)) = 0
(77 + -28y + (-44y + 16y2)) = 0

Combine like terms: -28y + -44y = -72y
(77 + -72y + 16y2) = 0

Solving
77 + -72y + 16y2 = 0

Solving for variable 'y'.

Factor a trinomial.
(7 + -4y)(11 + -4y) = 0


Subproblem 1
Set the factor '(7 + -4y)' equal to zero and attempt to solve:

Simplifying
7 + -4y = 0

Solving
7 + -4y = 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 + -4y = 0 + -7

Combine like terms: 7 + -7 = 0
0 + -4y = 0 + -7
-4y = 0 + -7

Combine like terms: 0 + -7 = -7
-4y = -7

Divide each side by '-4'.
y = 1.75

Simplifying
y = 1.75

Subproblem 2
Set the factor '(11 + -4y)' equal to zero and attempt to solve:

Simplifying
11 + -4y = 0

Solving
11 + -4y = 0

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

Add '-11' to each side of the equation.
11 + -11 + -4y = 0 + -11

Combine like terms: 11 + -11 = 0
0 + -4y = 0 + -11
-4y = 0 + -11

Combine like terms: 0 + -11 = -11
-4y = -11

Divide each side by '-4'.
y = 2.75

Simplifying
y = 2.75
Solution
y = {1.75, 2.75}

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