=(x+8y)(x-6y)

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


Simplifying
0 = (x + 8y)(x + -6y)

Multiply (x + 8y) * (x + -6y)
0 = (x(x + -6y) + 8y * (x + -6y))
0 = ((x * x + -6y * x) + 8y * (x + -6y))

Reorder the terms:
0 = ((-6xy + x2) + 8y * (x + -6y))
0 = ((-6xy + x2) + 8y * (x + -6y))
0 = (-6xy + x2 + (x * 8y + -6y * 8y))
0 = (-6xy + x2 + (8xy + -48y2))

Reorder the terms:
0 = (-6xy + 8xy + x2 + -48y2)

Combine like terms: -6xy + 8xy = 2xy
0 = (2xy + x2 + -48y2)

Solving
0 = 2xy + x2 + -48y2

Solving for variable 'x'.
Remove the zero:
-2xy + -1x2 + 48y2 = 2xy + x2 + -48y2 + -2xy + -1x2 + 48y2

Reorder the terms:
-2xy + -1x2 + 48y2 = 2xy + -2xy + x2 + -1x2 + -48y2 + 48y2

Combine like terms: 2xy + -2xy = 0
-2xy + -1x2 + 48y2 = 0 + x2 + -1x2 + -48y2 + 48y2
-2xy + -1x2 + 48y2 = x2 + -1x2 + -48y2 + 48y2

Combine like terms: x2 + -1x2 = 0
-2xy + -1x2 + 48y2 = 0 + -48y2 + 48y2
-2xy + -1x2 + 48y2 = -48y2 + 48y2

Combine like terms: -48y2 + 48y2 = 0
-2xy + -1x2 + 48y2 = 0

Factor a trinomial.
(-1x + -8y)(x + -6y) = 0


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

Simplifying
-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

Subproblem 2
Set the factor '(x + -6y)' equal to zero and attempt to solve:

Simplifying
x + -6y = 0

Solving
x + -6y = 0

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

Add '6y' to each side of the equation.
x + -6y + 6y = 0 + 6y

Combine like terms: -6y + 6y = 0
x + 0 = 0 + 6y
x = 0 + 6y
Remove the zero:
x = 6y

Simplifying
x = 6y
Solution
x = {-8y, 6y}

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