(15x-4y)(x+4y)=

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Solution for (15x-4y)(x+4y)= equation: 


Simplifying
(15x + -4y)(x + 4y) = 0

Multiply (15x + -4y) * (x + 4y)
(15x * (x + 4y) + -4y * (x + 4y)) = 0
((x * 15x + 4y * 15x) + -4y * (x + 4y)) = 0

Reorder the terms:
((60xy + 15x2) + -4y * (x + 4y)) = 0
((60xy + 15x2) + -4y * (x + 4y)) = 0
(60xy + 15x2 + (x * -4y + 4y * -4y)) = 0
(60xy + 15x2 + (-4xy + -16y2)) = 0

Reorder the terms:
(60xy + -4xy + 15x2 + -16y2) = 0

Combine like terms: 60xy + -4xy = 56xy
(56xy + 15x2 + -16y2) = 0

Solving
56xy + 15x2 + -16y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15x + -4y)(x + 4y) = 0


Subproblem 1
Set the factor '(15x + -4y)' equal to zero and attempt to solve:

Simplifying
15x + -4y = 0

Solving
15x + -4y = 0

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

Add '4y' to each side of the equation.
15x + -4y + 4y = 0 + 4y

Combine like terms: -4y + 4y = 0
15x + 0 = 0 + 4y
15x = 0 + 4y
Remove the zero:
15x = 4y

Divide each side by '15'.
x = 0.2666666667y

Simplifying
x = 0.2666666667y

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

Simplifying
x + 4y = 0

Solving
x + 4y = 0

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

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

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

Simplifying
x = -4y
Solution
x = {0.2666666667y, -4y}

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