(-x^4+7yz^5)(-x^4-7yz^5)=0

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Solution for (-x^4+7yz^5)(-x^4-7yz^5)=0 equation: 


Simplifying
(-1x4 + 7yz5)(-1x4 + -7yz5) = 0

Multiply (-1x4 + 7yz5) * (-1x4 + -7yz5)
(-1x4 * (-1x4 + -7yz5) + 7yz5 * (-1x4 + -7yz5)) = 0
((-1x4 * -1x4 + -7yz5 * -1x4) + 7yz5 * (-1x4 + -7yz5)) = 0

Reorder the terms:
((7x4yz5 + 1x8) + 7yz5 * (-1x4 + -7yz5)) = 0
((7x4yz5 + 1x8) + 7yz5 * (-1x4 + -7yz5)) = 0
(7x4yz5 + 1x8 + (-1x4 * 7yz5 + -7yz5 * 7yz5)) = 0
(7x4yz5 + 1x8 + (-7x4yz5 + -49y2z10)) = 0

Reorder the terms:
(7x4yz5 + -7x4yz5 + 1x8 + -49y2z10) = 0

Combine like terms: 7x4yz5 + -7x4yz5 = 0
(0 + 1x8 + -49y2z10) = 0
(1x8 + -49y2z10) = 0

Solving
1x8 + -49y2z10 = 0

Solving for variable 'x'.

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

Add '49y2z10' to each side of the equation.
1x8 + -49y2z10 + 49y2z10 = 0 + 49y2z10

Combine like terms: -49y2z10 + 49y2z10 = 0
1x8 + 0 = 0 + 49y2z10
1x8 = 0 + 49y2z10
Remove the zero:
1x8 = 49y2z10

Divide each side by '1'.
x8 = 49y2z10

Simplifying
x8 = 49y2z10

Combine like terms: 49y2z10 + -49y2z10 = 0
x8 + -49y2z10 = 0

Factor a difference between two squares.
(x4 + 7yz5)(x4 + -7yz5) = 0


Subproblem 1
Set the factor '(x4 + 7yz5)' equal to zero and attempt to solve:

Simplifying
x4 + 7yz5 = 0

Solving
x4 + 7yz5 = 0

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

Add '-7yz5' to each side of the equation.
x4 + 7yz5 + -7yz5 = 0 + -7yz5

Combine like terms: 7yz5 + -7yz5 = 0
x4 + 0 = 0 + -7yz5
x4 = 0 + -7yz5
Remove the zero:
x4 = -7yz5

Simplifying
x4 = -7yz5

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 '(x4 + -7yz5)' equal to zero and attempt to solve:

Simplifying
x4 + -7yz5 = 0

Solving
x4 + -7yz5 = 0

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

Add '7yz5' to each side of the equation.
x4 + -7yz5 + 7yz5 = 0 + 7yz5

Combine like terms: -7yz5 + 7yz5 = 0
x4 + 0 = 0 + 7yz5
x4 = 0 + 7yz5
Remove the zero:
x4 = 7yz5

Simplifying
x4 = 7yz5

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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