(7y-14)(8y-16)=0

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Solution for (7y-14)(8y-16)=0 equation: 


Simplifying
(7y + -14)(8y + -16) = 0

Reorder the terms:
(-14 + 7y)(8y + -16) = 0

Reorder the terms:
(-14 + 7y)(-16 + 8y) = 0

Multiply (-14 + 7y) * (-16 + 8y)
(-14(-16 + 8y) + 7y * (-16 + 8y)) = 0
((-16 * -14 + 8y * -14) + 7y * (-16 + 8y)) = 0
((224 + -112y) + 7y * (-16 + 8y)) = 0
(224 + -112y + (-16 * 7y + 8y * 7y)) = 0
(224 + -112y + (-112y + 56y2)) = 0

Combine like terms: -112y + -112y = -224y
(224 + -224y + 56y2) = 0

Solving
224 + -224y + 56y2 = 0

Solving for variable 'y'.

Factor out the Greatest Common Factor (GCF), '56'.
56(4 + -4y + y2) = 0

Factor a trinomial.
56((2 + -1y)(2 + -1y)) = 0

Ignore the factor 56.

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2

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

Simplifying
2 + -1y = 0

Solving
2 + -1y = 0

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

Add '-2' to each side of the equation.
2 + -2 + -1y = 0 + -2

Combine like terms: 2 + -2 = 0
0 + -1y = 0 + -2
-1y = 0 + -2

Combine like terms: 0 + -2 = -2
-1y = -2

Divide each side by '-1'.
y = 2

Simplifying
y = 2
Solution
y = {2, 2}

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