(2z^7+3y)(2z^7+3y)=

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Solution for (2z^7+3y)(2z^7+3y)= equation: 


Simplifying
(2z7 + 3y)(2z7 + 3y) = 0

Reorder the terms:
(3y + 2z7)(2z7 + 3y) = 0

Reorder the terms:
(3y + 2z7)(3y + 2z7) = 0

Multiply (3y + 2z7) * (3y + 2z7)
(3y * (3y + 2z7) + 2z7 * (3y + 2z7)) = 0
((3y * 3y + 2z7 * 3y) + 2z7 * (3y + 2z7)) = 0

Reorder the terms:
((6yz7 + 9y2) + 2z7 * (3y + 2z7)) = 0
((6yz7 + 9y2) + 2z7 * (3y + 2z7)) = 0
(6yz7 + 9y2 + (3y * 2z7 + 2z7 * 2z7)) = 0
(6yz7 + 9y2 + (6yz7 + 4z14)) = 0

Reorder the terms:
(6yz7 + 6yz7 + 9y2 + 4z14) = 0

Combine like terms: 6yz7 + 6yz7 = 12yz7
(12yz7 + 9y2 + 4z14) = 0

Solving
12yz7 + 9y2 + 4z14 = 0

Solving for variable 'y'.

Factor a trinomial.
(3y + 2z7)(3y + 2z7) = 0


Subproblem 1
Set the factor '(3y + 2z7)' equal to zero and attempt to solve:

Simplifying
3y + 2z7 = 0

Solving
3y + 2z7 = 0

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

Add '-2z7' to each side of the equation.
3y + 2z7 + -2z7 = 0 + -2z7

Combine like terms: 2z7 + -2z7 = 0
3y + 0 = 0 + -2z7
3y = 0 + -2z7
Remove the zero:
3y = -2z7

Divide each side by '3'.
y = -0.6666666667z7

Simplifying
y = -0.6666666667z7

Subproblem 2
Set the factor '(3y + 2z7)' equal to zero and attempt to solve:

Simplifying
3y + 2z7 = 0

Solving
3y + 2z7 = 0

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

Add '-2z7' to each side of the equation.
3y + 2z7 + -2z7 = 0 + -2z7

Combine like terms: 2z7 + -2z7 = 0
3y + 0 = 0 + -2z7
3y = 0 + -2z7
Remove the zero:
3y = -2z7

Divide each side by '3'.
y = -0.6666666667z7

Simplifying
y = -0.6666666667z7
Solution
y = {-0.6666666667z7, -0.6666666667z7}

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