(-x)*(16*(y^2)+16*(x^2)-49)=0

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Solution for (-x)*(16*(y^2)+16*(x^2)-49)=0 equation: 


Simplifying
(-1x)(16(y2) + 16(x2) + -49) = 0

Remove parenthesis around (-1x)
-1x(16(y2) + 16(x2) + -49) = 0

Reorder the terms:
-1x(-49 + 16x2 + 16y2) = 0
(-49 * -1x + 16x2 * -1x + 16y2 * -1x) = 0

Reorder the terms:
(49x + -16xy2 + -16x3) = 0
(49x + -16xy2 + -16x3) = 0

Solving
49x + -16xy2 + -16x3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(49 + -16y2 + -16x2) = 0


Subproblem 1
Set the factor 'x' equal to zero and attempt to solve:

Simplifying
x = 0

Solving
x = 0

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

Simplifying
x = 0

Subproblem 2
Set the factor '(49 + -16y2 + -16x2)' equal to zero and attempt to solve:

Simplifying
49 + -16y2 + -16x2 = 0

Reorder the terms:
49 + -16x2 + -16y2 = 0

Solving
49 + -16x2 + -16y2 = 0

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

Add '-49' to each side of the equation.
49 + -16x2 + -49 + -16y2 = 0 + -49

Reorder the terms:
49 + -49 + -16x2 + -16y2 = 0 + -49

Combine like terms: 49 + -49 = 0
0 + -16x2 + -16y2 = 0 + -49
-16x2 + -16y2 = 0 + -49

Combine like terms: 0 + -49 = -49
-16x2 + -16y2 = -49

Add '16y2' to each side of the equation.
-16x2 + -16y2 + 16y2 = -49 + 16y2

Combine like terms: -16y2 + 16y2 = 0
-16x2 + 0 = -49 + 16y2
-16x2 = -49 + 16y2

Divide each side by '-16'.
x2 = 3.0625 + -1y2

Simplifying
x2 = 3.0625 + -1y2

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.
Solution
x = {0}

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