(2y+28)(4y+26)=

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Solution for (2y+28)(4y+26)= equation: 


Simplifying
(2y + 28)(4y + 26) = 0

Reorder the terms:
(28 + 2y)(4y + 26) = 0

Reorder the terms:
(28 + 2y)(26 + 4y) = 0

Multiply (28 + 2y) * (26 + 4y)
(28(26 + 4y) + 2y * (26 + 4y)) = 0
((26 * 28 + 4y * 28) + 2y * (26 + 4y)) = 0
((728 + 112y) + 2y * (26 + 4y)) = 0
(728 + 112y + (26 * 2y + 4y * 2y)) = 0
(728 + 112y + (52y + 8y2)) = 0

Combine like terms: 112y + 52y = 164y
(728 + 164y + 8y2) = 0

Solving
728 + 164y + 8y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '4'.
4(182 + 41y + 2y2) = 0

Factor a trinomial.
4((14 + y)(13 + 2y)) = 0

Ignore the factor 4.

Subproblem 1
Set the factor '(14 + y)' equal to zero and attempt to solve:

Simplifying
14 + y = 0

Solving
14 + y = 0

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

Add '-14' to each side of the equation.
14 + -14 + y = 0 + -14

Combine like terms: 14 + -14 = 0
0 + y = 0 + -14
y = 0 + -14

Combine like terms: 0 + -14 = -14
y = -14

Simplifying
y = -14

Subproblem 2
Set the factor '(13 + 2y)' equal to zero and attempt to solve:

Simplifying
13 + 2y = 0

Solving
13 + 2y = 0

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

Add '-13' to each side of the equation.
13 + -13 + 2y = 0 + -13

Combine like terms: 13 + -13 = 0
0 + 2y = 0 + -13
2y = 0 + -13

Combine like terms: 0 + -13 = -13
2y = -13

Divide each side by '2'.
y = -6.5

Simplifying
y = -6.5
Solution
y = {-14, -6.5}

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