=3x(2x+5)+2y(2x+5)

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Solution for =3x(2x+5)+2y(2x+5) equation: 


Simplifying
0 = 3x(2x + 5) + 2y(2x + 5)

Reorder the terms:
0 = 3x(5 + 2x) + 2y(2x + 5)
0 = (5 * 3x + 2x * 3x) + 2y(2x + 5)
0 = (15x + 6x2) + 2y(2x + 5)

Reorder the terms:
0 = 15x + 6x2 + 2y(5 + 2x)
0 = 15x + 6x2 + (5 * 2y + 2x * 2y)

Reorder the terms:
0 = 15x + 6x2 + (4xy + 10y)
0 = 15x + 6x2 + (4xy + 10y)

Reorder the terms:
0 = 15x + 4xy + 6x2 + 10y

Solving
0 = 15x + 4xy + 6x2 + 10y

Solving for variable 'x'.
Remove the zero:
-15x + -4xy + -6x2 + -10y = 15x + 4xy + 6x2 + 10y + -15x + -4xy + -6x2 + -10y

Reorder the terms:
-15x + -4xy + -6x2 + -10y = 15x + -15x + 4xy + -4xy + 6x2 + -6x2 + 10y + -10y

Combine like terms: 15x + -15x = 0
-15x + -4xy + -6x2 + -10y = 0 + 4xy + -4xy + 6x2 + -6x2 + 10y + -10y
-15x + -4xy + -6x2 + -10y = 4xy + -4xy + 6x2 + -6x2 + 10y + -10y

Combine like terms: 4xy + -4xy = 0
-15x + -4xy + -6x2 + -10y = 0 + 6x2 + -6x2 + 10y + -10y
-15x + -4xy + -6x2 + -10y = 6x2 + -6x2 + 10y + -10y

Combine like terms: 6x2 + -6x2 = 0
-15x + -4xy + -6x2 + -10y = 0 + 10y + -10y
-15x + -4xy + -6x2 + -10y = 10y + -10y

Combine like terms: 10y + -10y = 0
-15x + -4xy + -6x2 + -10y = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(15x + 4xy + 6x2 + 10y) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(15x + 4xy + 6x2 + 10y)' equal to zero and attempt to solve:

Simplifying
15x + 4xy + 6x2 + 10y = 0

Solving
15x + 4xy + 6x2 + 10y = 0

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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