2x^2-12xy-32y^2=2(x-8y)(x+By)

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Solution for 2x^2-12xy-32y^2=2(x-8y)(x+By) equation: 


Simplifying
2x2 + -12xy + -32y2 = 2(x + -8y)(x + By)

Reorder the terms:
-12xy + 2x2 + -32y2 = 2(x + -8y)(x + By)

Multiply (x + -8y) * (x + yB)
-12xy + 2x2 + -32y2 = 2(x(x + yB) + -8y * (x + yB))
-12xy + 2x2 + -32y2 = 2((x * x + yB * x) + -8y * (x + yB))

Reorder the terms:
-12xy + 2x2 + -32y2 = 2((xyB + x2) + -8y * (x + yB))
-12xy + 2x2 + -32y2 = 2((xyB + x2) + -8y * (x + yB))
-12xy + 2x2 + -32y2 = 2(xyB + x2 + (x * -8y + yB * -8y))
-12xy + 2x2 + -32y2 = 2(xyB + x2 + (-8xy + -8y2B))

Reorder the terms:
-12xy + 2x2 + -32y2 = 2(-8xy + xyB + x2 + -8y2B)
-12xy + 2x2 + -32y2 = 2(-8xy + xyB + x2 + -8y2B)
-12xy + 2x2 + -32y2 = (-8xy * 2 + xyB * 2 + x2 * 2 + -8y2B * 2)
-12xy + 2x2 + -32y2 = (-16xy + 2xyB + 2x2 + -16y2B)

Add '-2x2' to each side of the equation.
-12xy + 2x2 + -2x2 + -32y2 = -16xy + 2xyB + 2x2 + -2x2 + -16y2B

Combine like terms: 2x2 + -2x2 = 0
-12xy + 0 + -32y2 = -16xy + 2xyB + 2x2 + -2x2 + -16y2B
-12xy + -32y2 = -16xy + 2xyB + 2x2 + -2x2 + -16y2B

Combine like terms: 2x2 + -2x2 = 0
-12xy + -32y2 = -16xy + 2xyB + 0 + -16y2B
-12xy + -32y2 = -16xy + 2xyB + -16y2B

Solving
-12xy + -32y2 = -16xy + 2xyB + -16y2B

Solving for variable 'x'.

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

Add '16xy' to each side of the equation.
-12xy + 16xy + -32y2 = -16xy + 2xyB + 16xy + -16y2B

Combine like terms: -12xy + 16xy = 4xy
4xy + -32y2 = -16xy + 2xyB + 16xy + -16y2B

Reorder the terms:
4xy + -32y2 = -16xy + 16xy + 2xyB + -16y2B

Combine like terms: -16xy + 16xy = 0
4xy + -32y2 = 0 + 2xyB + -16y2B
4xy + -32y2 = 2xyB + -16y2B

Add '-2xyB' to each side of the equation.
4xy + -2xyB + -32y2 = 2xyB + -2xyB + -16y2B

Combine like terms: 2xyB + -2xyB = 0
4xy + -2xyB + -32y2 = 0 + -16y2B
4xy + -2xyB + -32y2 = -16y2B

Add '32y2' to each side of the equation.
4xy + -2xyB + -32y2 + 32y2 = 32y2 + -16y2B

Combine like terms: -32y2 + 32y2 = 0
4xy + -2xyB + 0 = 32y2 + -16y2B
4xy + -2xyB = 32y2 + -16y2B

Reorder the terms:
4xy + -2xyB + -32y2 + 16y2B = 32y2 + -32y2 + -16y2B + 16y2B

Combine like terms: 32y2 + -32y2 = 0
4xy + -2xyB + -32y2 + 16y2B = 0 + -16y2B + 16y2B
4xy + -2xyB + -32y2 + 16y2B = -16y2B + 16y2B

Combine like terms: -16y2B + 16y2B = 0
4xy + -2xyB + -32y2 + 16y2B = 0

Factor out the Greatest Common Factor (GCF), '2y'.
2y(2x + -1xB + -16y + 8yB) = 0

Ignore the factor 2.

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

Simplifying
y = 0

Solving
y = 0

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

Add '-1y' to each side of the equation.
y + -1y = 0 + -1y
Remove the zero:
0 = -1y

Simplifying
0 = -1y

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(2x + -1xB + -16y + 8yB)' equal to zero and attempt to solve:

Simplifying
2x + -1xB + -16y + 8yB = 0

Solving
2x + -1xB + -16y + 8yB = 0

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

Add '16y' to each side of the equation.
2x + -1xB + -16y + 16y + 8yB = 0 + 16y

Combine like terms: -16y + 16y = 0
2x + -1xB + 0 + 8yB = 0 + 16y
2x + -1xB + 8yB = 0 + 16y
Remove the zero:
2x + -1xB + 8yB = 16y

Add '-8yB' to each side of the equation.
2x + -1xB + 8yB + -8yB = 16y + -8yB

Combine like terms: 8yB + -8yB = 0
2x + -1xB + 0 = 16y + -8yB
2x + -1xB = 16y + -8yB

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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