6y*8y+6y*8x-8x*8y-8x*8x=

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Solution for 6y*8y+6y*8x-8x*8y-8x*8x= equation: 


Simplifying
6y * 8y + 6y * 8x + -8x * 8y + -8x * 8x = 0

Reorder the terms for easier multiplication:
6 * 8y * y + 6y * 8x + -8x * 8y + -8x * 8x = 0

Multiply 6 * 8
48y * y + 6y * 8x + -8x * 8y + -8x * 8x = 0

Multiply y * y
48y2 + 6y * 8x + -8x * 8y + -8x * 8x = 0

Reorder the terms for easier multiplication:
48y2 + 6 * 8y * x + -8x * 8y + -8x * 8x = 0

Multiply 6 * 8
48y2 + 48y * x + -8x * 8y + -8x * 8x = 0

Multiply y * x
48y2 + 48xy + -8x * 8y + -8x * 8x = 0

Reorder the terms for easier multiplication:
48y2 + 48xy + -8 * 8x * y + -8x * 8x = 0

Multiply -8 * 8
48y2 + 48xy + -64x * y + -8x * 8x = 0

Multiply x * y
48y2 + 48xy + -64xy + -8x * 8x = 0

Reorder the terms for easier multiplication:
48y2 + 48xy + -64xy + -8 * 8x * x = 0

Multiply -8 * 8
48y2 + 48xy + -64xy + -64x * x = 0

Multiply x * x
48y2 + 48xy + -64xy + -64x2 = 0

Reorder the terms:
48xy + -64xy + -64x2 + 48y2 = 0

Combine like terms: 48xy + -64xy = -16xy
-16xy + -64x2 + 48y2 = 0

Solving
-16xy + -64x2 + 48y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '16'.
16(-1xy + -4x2 + 3y2) = 0

Factor a trinomial.
16((-1x + -1y)(4x + -3y)) = 0

Ignore the factor 16.

Subproblem 1
Set the factor '(-1x + -1y)' equal to zero and attempt to solve:

Simplifying
-1x + -1y = 0

Solving
-1x + -1y = 0

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

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

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

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

Simplifying
x = -1y

Subproblem 2
Set the factor '(4x + -3y)' equal to zero and attempt to solve:

Simplifying
4x + -3y = 0

Solving
4x + -3y = 0

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

Add '3y' to each side of the equation.
4x + -3y + 3y = 0 + 3y

Combine like terms: -3y + 3y = 0
4x + 0 = 0 + 3y
4x = 0 + 3y
Remove the zero:
4x = 3y

Divide each side by '4'.
x = 0.75y

Simplifying
x = 0.75y
Solution
x = {-1y, 0.75y}

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