-5xy+7x*(3y-2x)+4x*3x=

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Solution for -5xy+7x*(3y-2x)+4x*3x= equation: 


Simplifying
-5xy + 7x(3y + -2x) + 4x * 3x = 0

Reorder the terms:
-5xy + 7x(-2x + 3y) + 4x * 3x = 0
-5xy + (-2x * 7x + 3y * 7x) + 4x * 3x = 0

Reorder the terms:
-5xy + (21xy + -14x2) + 4x * 3x = 0
-5xy + (21xy + -14x2) + 4x * 3x = 0

Reorder the terms for easier multiplication:
-5xy + 21xy + -14x2 + 4 * 3x * x = 0

Multiply 4 * 3
-5xy + 21xy + -14x2 + 12x * x = 0

Multiply x * x
-5xy + 21xy + -14x2 + 12x2 = 0

Combine like terms: -5xy + 21xy = 16xy
16xy + -14x2 + 12x2 = 0

Combine like terms: -14x2 + 12x2 = -2x2
16xy + -2x2 = 0

Solving
16xy + -2x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(8y + -1x) = 0

Ignore the factor 2.

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 '(8y + -1x)' equal to zero and attempt to solve:

Simplifying
8y + -1x = 0

Reorder the terms:
-1x + 8y = 0

Solving
-1x + 8y = 0

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

Add '-8y' to each side of the equation.
-1x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-1x + 0 = 0 + -8y
-1x = 0 + -8y
Remove the zero:
-1x = -8y

Divide each side by '-1'.
x = 8y

Simplifying
x = 8y
Solution
x = {0, 8y}

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