(yz^2+x)(yz^2-3x)=

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Solution for (yz^2+x)(yz^2-3x)= equation: 


Simplifying
(yz2 + x)(yz2 + -3x) = 0

Reorder the terms:
(x + yz2)(yz2 + -3x) = 0

Reorder the terms:
(x + yz2)(-3x + yz2) = 0

Multiply (x + yz2) * (-3x + yz2)
(x(-3x + yz2) + yz2(-3x + yz2)) = 0
((-3x * x + yz2 * x) + yz2(-3x + yz2)) = 0

Reorder the terms:
((xyz2 + -3x2) + yz2(-3x + yz2)) = 0
((xyz2 + -3x2) + yz2(-3x + yz2)) = 0
(xyz2 + -3x2 + (-3x * yz2 + yz2 * yz2)) = 0
(xyz2 + -3x2 + (-3xyz2 + y2z4)) = 0

Reorder the terms:
(xyz2 + -3xyz2 + -3x2 + y2z4) = 0

Combine like terms: xyz2 + -3xyz2 = -2xyz2
(-2xyz2 + -3x2 + y2z4) = 0

Solving
-2xyz2 + -3x2 + y2z4 = 0

Solving for variable 'x'.

Factor a trinomial.
(-1x + -1yz2)(3x + -1yz2) = 0


Subproblem 1
Set the factor '(-1x + -1yz2)' equal to zero and attempt to solve:

Simplifying
-1x + -1yz2 = 0

Solving
-1x + -1yz2 = 0

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

Add 'yz2' to each side of the equation.
-1x + -1yz2 + yz2 = 0 + yz2

Combine like terms: -1yz2 + yz2 = 0
-1x + 0 = 0 + yz2
-1x = 0 + yz2
Remove the zero:
-1x = yz2

Divide each side by '-1'.
x = -1yz2

Simplifying
x = -1yz2

Subproblem 2
Set the factor '(3x + -1yz2)' equal to zero and attempt to solve:

Simplifying
3x + -1yz2 = 0

Solving
3x + -1yz2 = 0

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

Add 'yz2' to each side of the equation.
3x + -1yz2 + yz2 = 0 + yz2

Combine like terms: -1yz2 + yz2 = 0
3x + 0 = 0 + yz2
3x = 0 + yz2
Remove the zero:
3x = yz2

Divide each side by '3'.
x = 0.3333333333yz2

Simplifying
x = 0.3333333333yz2
Solution
x = {-1yz2, 0.3333333333yz2}

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