7xy+3x(5x-2y)=

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Solution for 7xy+3x(5x-2y)= equation: 


Simplifying
7xy + 3x(5x + -2y) = 0
7xy + (5x * 3x + -2y * 3x) = 0

Reorder the terms:
7xy + (-6xy + 15x2) = 0
7xy + (-6xy + 15x2) = 0

Combine like terms: 7xy + -6xy = 1xy
1xy + 15x2 = 0

Solving
1xy + 15x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(y + 15x) = 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 '(y + 15x)' equal to zero and attempt to solve:

Simplifying
y + 15x = 0

Reorder the terms:
15x + y = 0

Solving
15x + y = 0

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

Add '-1y' to each side of the equation.
15x + y + -1y = 0 + -1y

Combine like terms: y + -1y = 0
15x + 0 = 0 + -1y
15x = 0 + -1y
Remove the zero:
15x = -1y

Divide each side by '15'.
x = -0.06666666667y

Simplifying
x = -0.06666666667y
Solution
x = {0, -0.06666666667y}

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