(35x+16y)(21x+28y)=

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Solution for (35x+16y)(21x+28y)= equation: 


Simplifying
(35x + 16y)(21x + 28y) = 0

Multiply (35x + 16y) * (21x + 28y)
(35x * (21x + 28y) + 16y * (21x + 28y)) = 0
((21x * 35x + 28y * 35x) + 16y * (21x + 28y)) = 0

Reorder the terms:
((980xy + 735x2) + 16y * (21x + 28y)) = 0
((980xy + 735x2) + 16y * (21x + 28y)) = 0
(980xy + 735x2 + (21x * 16y + 28y * 16y)) = 0
(980xy + 735x2 + (336xy + 448y2)) = 0

Reorder the terms:
(980xy + 336xy + 735x2 + 448y2) = 0

Combine like terms: 980xy + 336xy = 1316xy
(1316xy + 735x2 + 448y2) = 0

Solving
1316xy + 735x2 + 448y2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7'.
7(188xy + 105x2 + 64y2) = 0

Factor a trinomial.
7((35x + 16y)(3x + 4y)) = 0

Ignore the factor 7.

Subproblem 1
Set the factor '(35x + 16y)' equal to zero and attempt to solve:

Simplifying
35x + 16y = 0

Solving
35x + 16y = 0

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

Add '-16y' to each side of the equation.
35x + 16y + -16y = 0 + -16y

Combine like terms: 16y + -16y = 0
35x + 0 = 0 + -16y
35x = 0 + -16y
Remove the zero:
35x = -16y

Divide each side by '35'.
x = -0.4571428571y

Simplifying
x = -0.4571428571y

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

Simplifying
3x + 4y = 0

Solving
3x + 4y = 0

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

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

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

Divide each side by '3'.
x = -1.333333333y

Simplifying
x = -1.333333333y
Solution
x = {-0.4571428571y, -1.333333333y}

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