(a^2+yt)(7a^2-2yt)=

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Solution for (a^2+yt)(7a^2-2yt)= equation: 


Simplifying
(a2 + yt)(7a2 + -2yt) = 0

Multiply (a2 + ty) * (7a2 + -2ty)
(a2(7a2 + -2ty) + ty(7a2 + -2ty)) = 0
((7a2 * a2 + -2ty * a2) + ty(7a2 + -2ty)) = 0

Reorder the terms:
((-2a2ty + 7a4) + ty(7a2 + -2ty)) = 0
((-2a2ty + 7a4) + ty(7a2 + -2ty)) = 0
(-2a2ty + 7a4 + (7a2 * ty + -2ty * ty)) = 0
(-2a2ty + 7a4 + (7a2ty + -2t2y2)) = 0

Reorder the terms:
(-2a2ty + 7a2ty + 7a4 + -2t2y2) = 0

Combine like terms: -2a2ty + 7a2ty = 5a2ty
(5a2ty + 7a4 + -2t2y2) = 0

Solving
5a2ty + 7a4 + -2t2y2 = 0

Solving for variable 'a'.

Factor a trinomial.
(7a2 + -2ty)(a2 + ty) = 0


Subproblem 1
Set the factor '(7a2 + -2ty)' equal to zero and attempt to solve:

Simplifying
7a2 + -2ty = 0

Solving
7a2 + -2ty = 0

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

Add '2ty' to each side of the equation.
7a2 + -2ty + 2ty = 0 + 2ty

Combine like terms: -2ty + 2ty = 0
7a2 + 0 = 0 + 2ty
7a2 = 0 + 2ty
Remove the zero:
7a2 = 2ty

Divide each side by '7'.
a2 = 0.2857142857ty

Simplifying
a2 = 0.2857142857ty

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

Subproblem 2
Set the factor '(a2 + ty)' equal to zero and attempt to solve:

Simplifying
a2 + ty = 0

Solving
a2 + ty = 0

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

Add '-1ty' to each side of the equation.
a2 + ty + -1ty = 0 + -1ty

Combine like terms: ty + -1ty = 0
a2 + 0 = 0 + -1ty
a2 = 0 + -1ty
Remove the zero:
a2 = -1ty

Simplifying
a2 = -1ty

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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