(x+y^2)*(8x+y^2)=

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Solution for (x+y^2)*(8x+y^2)= equation: 


Simplifying
(x + y2)(8x + y2) = 0

Multiply (x + y2) * (8x + y2)
(x(8x + y2) + y2(8x + y2)) = 0
((8x * x + y2 * x) + y2(8x + y2)) = 0

Reorder the terms:
((xy2 + 8x2) + y2(8x + y2)) = 0
((xy2 + 8x2) + y2(8x + y2)) = 0
(xy2 + 8x2 + (8x * y2 + y2 * y2)) = 0
(xy2 + 8x2 + (8xy2 + y4)) = 0

Reorder the terms:
(xy2 + 8xy2 + 8x2 + y4) = 0

Combine like terms: xy2 + 8xy2 = 9xy2
(9xy2 + 8x2 + y4) = 0

Solving
9xy2 + 8x2 + y4 = 0

Solving for variable 'x'.

Factor a trinomial.
(8x + y2)(x + y2) = 0


Subproblem 1
Set the factor '(8x + y2)' equal to zero and attempt to solve:

Simplifying
8x + y2 = 0

Solving
8x + y2 = 0

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

Add '-1y2' to each side of the equation.
8x + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
8x + 0 = 0 + -1y2
8x = 0 + -1y2
Remove the zero:
8x = -1y2

Divide each side by '8'.
x = -0.125y2

Simplifying
x = -0.125y2

Subproblem 2
Set the factor '(x + y2)' equal to zero and attempt to solve:

Simplifying
x + y2 = 0

Solving
x + y2 = 0

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

Add '-1y2' to each side of the equation.
x + y2 + -1y2 = 0 + -1y2

Combine like terms: y2 + -1y2 = 0
x + 0 = 0 + -1y2
x = 0 + -1y2
Remove the zero:
x = -1y2

Simplifying
x = -1y2
Solution
x = {-0.125y2, -1y2}

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