(Y+4)(6y+10)=

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Solution for (Y+4)(6y+10)= equation:


Simplifying
(Y + 4)(6y + 10) = 0

Reorder the terms:
(4 + Y)(6y + 10) = 0

Reorder the terms:
(4 + Y)(10 + 6y) = 0

Multiply (4 + Y) * (10 + 6y)
(4(10 + 6y) + Y(10 + 6y)) = 0
((10 * 4 + 6y * 4) + Y(10 + 6y)) = 0
((40 + 24y) + Y(10 + 6y)) = 0
(40 + 24y + (10 * Y + 6y * Y)) = 0
(40 + 24y + (10Y + 6yY)) = 0

Reorder the terms:
(40 + 10Y + 24y + 6yY) = 0
(40 + 10Y + 24y + 6yY) = 0

Solving
40 + 10Y + 24y + 6yY = 0

Solving for variable 'Y'.

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

Add '-40' to each side of the equation.
40 + 10Y + 24y + -40 + 6yY = 0 + -40

Reorder the terms:
40 + -40 + 10Y + 24y + 6yY = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 10Y + 24y + 6yY = 0 + -40
10Y + 24y + 6yY = 0 + -40

Combine like terms: 0 + -40 = -40
10Y + 24y + 6yY = -40

Add '-24y' to each side of the equation.
10Y + 24y + -24y + 6yY = -40 + -24y

Combine like terms: 24y + -24y = 0
10Y + 0 + 6yY = -40 + -24y
10Y + 6yY = -40 + -24y

Reorder the terms:
40 + 10Y + 24y + 6yY = -40 + -24y + 40 + 24y

Reorder the terms:
40 + 10Y + 24y + 6yY = -40 + 40 + -24y + 24y

Combine like terms: -40 + 40 = 0
40 + 10Y + 24y + 6yY = 0 + -24y + 24y
40 + 10Y + 24y + 6yY = -24y + 24y

Combine like terms: -24y + 24y = 0
40 + 10Y + 24y + 6yY = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(20 + 5Y + 12y + 3yY) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(20 + 5Y + 12y + 3yY)' equal to zero and attempt to solve: Simplifying 20 + 5Y + 12y + 3yY = 0 Solving 20 + 5Y + 12y + 3yY = 0 Move all terms containing Y to the left, all other terms to the right. Add '-20' to each side of the equation. 20 + 5Y + 12y + -20 + 3yY = 0 + -20 Reorder the terms: 20 + -20 + 5Y + 12y + 3yY = 0 + -20 Combine like terms: 20 + -20 = 0 0 + 5Y + 12y + 3yY = 0 + -20 5Y + 12y + 3yY = 0 + -20 Combine like terms: 0 + -20 = -20 5Y + 12y + 3yY = -20 Add '-12y' to each side of the equation. 5Y + 12y + -12y + 3yY = -20 + -12y Combine like terms: 12y + -12y = 0 5Y + 0 + 3yY = -20 + -12y 5Y + 3yY = -20 + -12y The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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