(15x-23y)(17y+35x)=

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Solution for (15x-23y)(17y+35x)= equation: 


Simplifying
(15x + -23y)(17y + 35x) = 0

Reorder the terms:
(15x + -23y)(35x + 17y) = 0

Multiply (15x + -23y) * (35x + 17y)
(15x * (35x + 17y) + -23y * (35x + 17y)) = 0
((35x * 15x + 17y * 15x) + -23y * (35x + 17y)) = 0

Reorder the terms:
((255xy + 525x2) + -23y * (35x + 17y)) = 0
((255xy + 525x2) + -23y * (35x + 17y)) = 0
(255xy + 525x2 + (35x * -23y + 17y * -23y)) = 0
(255xy + 525x2 + (-805xy + -391y2)) = 0

Reorder the terms:
(255xy + -805xy + 525x2 + -391y2) = 0

Combine like terms: 255xy + -805xy = -550xy
(-550xy + 525x2 + -391y2) = 0

Solving
-550xy + 525x2 + -391y2 = 0

Solving for variable 'x'.

Factor a trinomial.
(15x + -23y)(35x + 17y) = 0


Subproblem 1
Set the factor '(15x + -23y)' equal to zero and attempt to solve:

Simplifying
15x + -23y = 0

Solving
15x + -23y = 0

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

Add '23y' to each side of the equation.
15x + -23y + 23y = 0 + 23y

Combine like terms: -23y + 23y = 0
15x + 0 = 0 + 23y
15x = 0 + 23y
Remove the zero:
15x = 23y

Divide each side by '15'.
x = 1.533333333y

Simplifying
x = 1.533333333y

Subproblem 2
Set the factor '(35x + 17y)' equal to zero and attempt to solve:

Simplifying
35x + 17y = 0

Solving
35x + 17y = 0

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

Add '-17y' to each side of the equation.
35x + 17y + -17y = 0 + -17y

Combine like terms: 17y + -17y = 0
35x + 0 = 0 + -17y
35x = 0 + -17y
Remove the zero:
35x = -17y

Divide each side by '35'.
x = -0.4857142857y

Simplifying
x = -0.4857142857y
Solution
x = {1.533333333y, -0.4857142857y}

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