=(7x-8y)(7x-8y)

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Solution for =(7x-8y)(7x-8y) equation: 


Simplifying
0 = (7x + -8y)(7x + -8y)

Multiply (7x + -8y) * (7x + -8y)
0 = (7x * (7x + -8y) + -8y * (7x + -8y))
0 = ((7x * 7x + -8y * 7x) + -8y * (7x + -8y))

Reorder the terms:
0 = ((-56xy + 49x2) + -8y * (7x + -8y))
0 = ((-56xy + 49x2) + -8y * (7x + -8y))
0 = (-56xy + 49x2 + (7x * -8y + -8y * -8y))
0 = (-56xy + 49x2 + (-56xy + 64y2))

Reorder the terms:
0 = (-56xy + -56xy + 49x2 + 64y2)

Combine like terms: -56xy + -56xy = -112xy
0 = (-112xy + 49x2 + 64y2)

Solving
0 = -112xy + 49x2 + 64y2

Solving for variable 'x'.
Remove the zero:
112xy + -49x2 + -64y2 = -112xy + 49x2 + 64y2 + 112xy + -49x2 + -64y2

Reorder the terms:
112xy + -49x2 + -64y2 = -112xy + 112xy + 49x2 + -49x2 + 64y2 + -64y2

Combine like terms: -112xy + 112xy = 0
112xy + -49x2 + -64y2 = 0 + 49x2 + -49x2 + 64y2 + -64y2
112xy + -49x2 + -64y2 = 49x2 + -49x2 + 64y2 + -64y2

Combine like terms: 49x2 + -49x2 = 0
112xy + -49x2 + -64y2 = 0 + 64y2 + -64y2
112xy + -49x2 + -64y2 = 64y2 + -64y2

Combine like terms: 64y2 + -64y2 = 0
112xy + -49x2 + -64y2 = 0

Factor a trinomial.
(-7x + 8y)(7x + -8y) = 0


Subproblem 1
Set the factor '(-7x + 8y)' equal to zero and attempt to solve:

Simplifying
-7x + 8y = 0

Solving
-7x + 8y = 0

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

Add '-8y' to each side of the equation.
-7x + 8y + -8y = 0 + -8y

Combine like terms: 8y + -8y = 0
-7x + 0 = 0 + -8y
-7x = 0 + -8y
Remove the zero:
-7x = -8y

Divide each side by '-7'.
x = 1.142857143y

Simplifying
x = 1.142857143y

Subproblem 2
Set the factor '(7x + -8y)' equal to zero and attempt to solve:

Simplifying
7x + -8y = 0

Solving
7x + -8y = 0

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

Add '8y' to each side of the equation.
7x + -8y + 8y = 0 + 8y

Combine like terms: -8y + 8y = 0
7x + 0 = 0 + 8y
7x = 0 + 8y
Remove the zero:
7x = 8y

Divide each side by '7'.
x = 1.142857143y

Simplifying
x = 1.142857143y
Solution
x = {1.142857143y, 1.142857143y}

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