y^2+16=17x^4

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Solution for y^2+16=17x^4 equation: 


Simplifying
y2 + 16 = 17x4

Reorder the terms:
16 + y2 = 17x4

Solving
16 + y2 = 17x4

Solving for variable 'y'.

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

Add '-16' to each side of the equation.
16 + -16 + y2 = -16 + 17x4

Combine like terms: 16 + -16 = 0
0 + y2 = -16 + 17x4
y2 = -16 + 17x4

Simplifying
y2 = -16 + 17x4

Reorder the terms:
16 + -17x4 + y2 = -16 + 17x4 + 16 + -17x4

Reorder the terms:
16 + -17x4 + y2 = -16 + 16 + 17x4 + -17x4

Combine like terms: -16 + 16 = 0
16 + -17x4 + y2 = 0 + 17x4 + -17x4
16 + -17x4 + y2 = 17x4 + -17x4

Combine like terms: 17x4 + -17x4 = 0
16 + -17x4 + y2 = 0

Factor a trinomial.
(-17x2 + -1y)(x2 + -1y) = 0


Subproblem 1
Set the factor '(-17x2 + -1y)' equal to zero and attempt to solve:

Simplifying
-17x2 + -1y = 0

Solving
-17x2 + -1y = 0

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

Add '17x2' to each side of the equation.
-17x2 + 17x2 + -1y = 0 + 17x2

Combine like terms: -17x2 + 17x2 = 0
0 + -1y = 0 + 17x2
-1y = 0 + 17x2
Remove the zero:
-1y = 17x2

Divide each side by '-1'.
y = -17x2

Simplifying
y = -17x2

Subproblem 2
Set the factor '(x2 + -1y)' equal to zero and attempt to solve:

Simplifying
x2 + -1y = 0

Solving
x2 + -1y = 0

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

Add '-1x2' to each side of the equation.
x2 + -1x2 + -1y = 0 + -1x2

Combine like terms: x2 + -1x2 = 0
0 + -1y = 0 + -1x2
-1y = 0 + -1x2
Remove the zero:
-1y = -1x2

Divide each side by '-1'.
y = x2

Simplifying
y = x2
Solution
y = {-17x2, x2}

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