(50x^2+5)(3x+4Y)=

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Solution for (50x^2+5)(3x+4Y)= equation: 


Simplifying
(50x2 + 5)(3x + 4Y) = 0

Reorder the terms:
(5 + 50x2)(3x + 4Y) = 0

Reorder the terms:
(5 + 50x2)(4Y + 3x) = 0

Multiply (5 + 50x2) * (4Y + 3x)
(5(4Y + 3x) + 50x2 * (4Y + 3x)) = 0
((4Y * 5 + 3x * 5) + 50x2 * (4Y + 3x)) = 0
((20Y + 15x) + 50x2 * (4Y + 3x)) = 0
(20Y + 15x + (4Y * 50x2 + 3x * 50x2)) = 0
(20Y + 15x + (200x2Y + 150x3)) = 0
(20Y + 15x + 200x2Y + 150x3) = 0

Solving
20Y + 15x + 200x2Y + 150x3 = 0

Solving for variable 'Y'.

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

Add '-15x' to each side of the equation.
20Y + 15x + 200x2Y + -15x + 150x3 = 0 + -15x

Reorder the terms:
20Y + 15x + -15x + 200x2Y + 150x3 = 0 + -15x

Combine like terms: 15x + -15x = 0
20Y + 0 + 200x2Y + 150x3 = 0 + -15x
20Y + 200x2Y + 150x3 = 0 + -15x
Remove the zero:
20Y + 200x2Y + 150x3 = -15x

Add '-150x3' to each side of the equation.
20Y + 200x2Y + 150x3 + -150x3 = -15x + -150x3

Combine like terms: 150x3 + -150x3 = 0
20Y + 200x2Y + 0 = -15x + -150x3
20Y + 200x2Y = -15x + -150x3

Reorder the terms:
20Y + 15x + 200x2Y + 150x3 = -15x + -150x3 + 15x + 150x3

Reorder the terms:
20Y + 15x + 200x2Y + 150x3 = -15x + 15x + -150x3 + 150x3

Combine like terms: -15x + 15x = 0
20Y + 15x + 200x2Y + 150x3 = 0 + -150x3 + 150x3
20Y + 15x + 200x2Y + 150x3 = -150x3 + 150x3

Combine like terms: -150x3 + 150x3 = 0
20Y + 15x + 200x2Y + 150x3 = 0

Factor out the Greatest Common Factor (GCF), '5'.
5(4Y + 3x + 40x2Y + 30x3) = 0

Ignore the factor 5.

Subproblem 1
Set the factor '(4Y + 3x + 40x2Y + 30x3)' equal to zero and attempt to solve:

Simplifying
4Y + 3x + 40x2Y + 30x3 = 0

Solving
4Y + 3x + 40x2Y + 30x3 = 0

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

Add '-3x' to each side of the equation.
4Y + 3x + 40x2Y + -3x + 30x3 = 0 + -3x

Reorder the terms:
4Y + 3x + -3x + 40x2Y + 30x3 = 0 + -3x

Combine like terms: 3x + -3x = 0
4Y + 0 + 40x2Y + 30x3 = 0 + -3x
4Y + 40x2Y + 30x3 = 0 + -3x
Remove the zero:
4Y + 40x2Y + 30x3 = -3x

Add '-30x3' to each side of the equation.
4Y + 40x2Y + 30x3 + -30x3 = -3x + -30x3

Combine like terms: 30x3 + -30x3 = 0
4Y + 40x2Y + 0 = -3x + -30x3
4Y + 40x2Y = -3x + -30x3

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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