x-3y(x-8y)-(-6xy+7x)=

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Solution for x-3y(x-8y)-(-6xy+7x)= equation: 


Simplifying
x + -3y(x + -8y) + -1(-6xy + 7x) = 0
x + (x * -3y + -8y * -3y) + -1(-6xy + 7x) = 0
x + (-3xy + 24y2) + -1(-6xy + 7x) = 0

Reorder the terms:
x + -3xy + 24y2 + -1(7x + -6xy) = 0
x + -3xy + 24y2 + (7x * -1 + -6xy * -1) = 0
x + -3xy + 24y2 + (-7x + 6xy) = 0

Reorder the terms:
x + -7x + -3xy + 6xy + 24y2 = 0

Combine like terms: x + -7x = -6x
-6x + -3xy + 6xy + 24y2 = 0

Combine like terms: -3xy + 6xy = 3xy
-6x + 3xy + 24y2 = 0

Solving
-6x + 3xy + 24y2 = 0

Solving for variable 'x'.

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

Add '-24y2' to each side of the equation.
-6x + 3xy + 24y2 + -24y2 = 0 + -24y2

Combine like terms: 24y2 + -24y2 = 0
-6x + 3xy + 0 = 0 + -24y2
-6x + 3xy = 0 + -24y2
Remove the zero:
-6x + 3xy = -24y2

Combine like terms: -24y2 + 24y2 = 0
-6x + 3xy + 24y2 = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-2x + xy + 8y2) = 0

Ignore the factor 3.

Subproblem 1
Set the factor '(-2x + xy + 8y2)' equal to zero and attempt to solve:

Simplifying
-2x + xy + 8y2 = 0

Solving
-2x + xy + 8y2 = 0

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

Add '-8y2' to each side of the equation.
-2x + xy + 8y2 + -8y2 = 0 + -8y2

Combine like terms: 8y2 + -8y2 = 0
-2x + xy + 0 = 0 + -8y2
-2x + xy = 0 + -8y2
Remove the zero:
-2x + xy = -8y2

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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