2yt(y-3)=4(y+5)

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Solution for 2yt(y-3)=4(y+5) equation: 


Simplifying
2yt(y + -3) = 4(y + 5)

Reorder the terms:
2ty(-3 + y) = 4(y + 5)
(-3 * 2ty + y * 2ty) = 4(y + 5)
(-6ty + 2ty2) = 4(y + 5)

Reorder the terms:
-6ty + 2ty2 = 4(5 + y)
-6ty + 2ty2 = (5 * 4 + y * 4)
-6ty + 2ty2 = (20 + 4y)

Solving
-6ty + 2ty2 = 20 + 4y

Solving for variable 't'.

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

Reorder the terms:
-20 + -6ty + 2ty2 + -4y = 20 + 4y + -20 + -4y

Reorder the terms:
-20 + -6ty + 2ty2 + -4y = 20 + -20 + 4y + -4y

Combine like terms: 20 + -20 = 0
-20 + -6ty + 2ty2 + -4y = 0 + 4y + -4y
-20 + -6ty + 2ty2 + -4y = 4y + -4y

Combine like terms: 4y + -4y = 0
-20 + -6ty + 2ty2 + -4y = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-10 + -3ty + ty2 + -2y) = 0

Ignore the factor 2.

Subproblem 1
Set the factor '(-10 + -3ty + ty2 + -2y)' equal to zero and attempt to solve:

Simplifying
-10 + -3ty + ty2 + -2y = 0

Solving
-10 + -3ty + ty2 + -2y = 0

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

Add '10' to each side of the equation.
-10 + -3ty + ty2 + 10 + -2y = 0 + 10

Reorder the terms:
-10 + 10 + -3ty + ty2 + -2y = 0 + 10

Combine like terms: -10 + 10 = 0
0 + -3ty + ty2 + -2y = 0 + 10
-3ty + ty2 + -2y = 0 + 10

Combine like terms: 0 + 10 = 10
-3ty + ty2 + -2y = 10

Add '2y' to each side of the equation.
-3ty + ty2 + -2y + 2y = 10 + 2y

Combine like terms: -2y + 2y = 0
-3ty + ty2 + 0 = 10 + 2y
-3ty + ty2 = 10 + 2y

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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