(3u+5)(5u-7y-4)=(15u^2-7y-20)

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Solution for (3u+5)(5u-7y-4)=(15u^2-7y-20) equation:


Simplifying
(3u + 5)(5u + -7y + -4) = (15u2 + -7y + -20)

Reorder the terms:
(5 + 3u)(5u + -7y + -4) = (15u2 + -7y + -20)

Reorder the terms:
(5 + 3u)(-4 + 5u + -7y) = (15u2 + -7y + -20)

Multiply (5 + 3u) * (-4 + 5u + -7y)
(5(-4 + 5u + -7y) + 3u * (-4 + 5u + -7y)) = (15u2 + -7y + -20)
((-4 * 5 + 5u * 5 + -7y * 5) + 3u * (-4 + 5u + -7y)) = (15u2 + -7y + -20)
((-20 + 25u + -35y) + 3u * (-4 + 5u + -7y)) = (15u2 + -7y + -20)
(-20 + 25u + -35y + (-4 * 3u + 5u * 3u + -7y * 3u)) = (15u2 + -7y + -20)

Reorder the terms:
(-20 + 25u + -35y + (-12u + -21uy + 15u2)) = (15u2 + -7y + -20)
(-20 + 25u + -35y + (-12u + -21uy + 15u2)) = (15u2 + -7y + -20)

Reorder the terms:
(-20 + 25u + -12u + -21uy + 15u2 + -35y) = (15u2 + -7y + -20)

Combine like terms: 25u + -12u = 13u
(-20 + 13u + -21uy + 15u2 + -35y) = (15u2 + -7y + -20)

Reorder the terms:
-20 + 13u + -21uy + 15u2 + -35y = (-20 + 15u2 + -7y)

Remove parenthesis around (-20 + 15u2 + -7y)
-20 + 13u + -21uy + 15u2 + -35y = -20 + 15u2 + -7y

Add '20' to each side of the equation.
-20 + 13u + -21uy + 15u2 + 20 + -35y = -20 + 15u2 + 20 + -7y

Reorder the terms:
-20 + 20 + 13u + -21uy + 15u2 + -35y = -20 + 15u2 + 20 + -7y

Combine like terms: -20 + 20 = 0
0 + 13u + -21uy + 15u2 + -35y = -20 + 15u2 + 20 + -7y
13u + -21uy + 15u2 + -35y = -20 + 15u2 + 20 + -7y

Reorder the terms:
13u + -21uy + 15u2 + -35y = -20 + 20 + 15u2 + -7y

Combine like terms: -20 + 20 = 0
13u + -21uy + 15u2 + -35y = 0 + 15u2 + -7y
13u + -21uy + 15u2 + -35y = 15u2 + -7y

Add '-15u2' to each side of the equation.
13u + -21uy + 15u2 + -15u2 + -35y = 15u2 + -15u2 + -7y

Combine like terms: 15u2 + -15u2 = 0
13u + -21uy + 0 + -35y = 15u2 + -15u2 + -7y
13u + -21uy + -35y = 15u2 + -15u2 + -7y

Combine like terms: 15u2 + -15u2 = 0
13u + -21uy + -35y = 0 + -7y
13u + -21uy + -35y = -7y

Solving
13u + -21uy + -35y = -7y

Solving for variable 'u'.

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

Add '35y' to each side of the equation.
13u + -21uy + -35y + 35y = -7y + 35y

Combine like terms: -35y + 35y = 0
13u + -21uy + 0 = -7y + 35y
13u + -21uy = -7y + 35y

Combine like terms: -7y + 35y = 28y
13u + -21uy = 28y

Combine like terms: 28y + -28y = 0
13u + -21uy + -28y = 0

The solution to this equation could not be determined.

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