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

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


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

Reorder the terms:
(-9xy + 6x2) + 5x(3x + -2y) = 0
(-9xy + 6x2) + 5x(3x + -2y) = 0
-9xy + 6x2 + (3x * 5x + -2y * 5x) = 0

Reorder the terms:
-9xy + 6x2 + (-10xy + 15x2) = 0
-9xy + 6x2 + (-10xy + 15x2) = 0

Reorder the terms:
-9xy + -10xy + 6x2 + 15x2 = 0

Combine like terms: -9xy + -10xy = -19xy
-19xy + 6x2 + 15x2 = 0

Combine like terms: 6x2 + 15x2 = 21x2
-19xy + 21x2 = 0

Solving
-19xy + 21x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-19y + 21x) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(-19y + 21x)' equal to zero and attempt to solve:

Simplifying
-19y + 21x = 0

Reorder the terms:
21x + -19y = 0

Solving
21x + -19y = 0

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

Add '19y' to each side of the equation.
21x + -19y + 19y = 0 + 19y

Combine like terms: -19y + 19y = 0
21x + 0 = 0 + 19y
21x = 0 + 19y
Remove the zero:
21x = 19y

Divide each side by '21'.
x = 0.9047619048y

Simplifying
x = 0.9047619048y
Solution
x = {0, 0.9047619048y}

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