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

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


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

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

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

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

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

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

Solving for variable 'x'.

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

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

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

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

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

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

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

Factor out the Greatest Common Factor (GCF), '3'.
3(2x + -1xy + -8y2) = 0

Ignore the factor 3.

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

Simplifying
2x + -1xy + -8y2 = 0

Solving
2x + -1xy + -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 + -1xy + -8y2 + 8y2 = 0 + 8y2

Combine like terms: -8y2 + 8y2 = 0
2x + -1xy + 0 = 0 + 8y2
2x + -1xy = 0 + 8y2
Remove the zero:
2x + -1xy = 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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