(4z^2+1)(Z+3z^2)=

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Solution for (4z^2+1)(Z+3z^2)= equation: 


Simplifying
(4z2 + 1)(Z + 3z2) = 0

Reorder the terms:
(1 + 4z2)(Z + 3z2) = 0

Multiply (1 + 4z2) * (Z + 3z2)
(1(Z + 3z2) + 4z2 * (Z + 3z2)) = 0
((Z * 1 + 3z2 * 1) + 4z2 * (Z + 3z2)) = 0
((1Z + 3z2) + 4z2 * (Z + 3z2)) = 0
(1Z + 3z2 + (Z * 4z2 + 3z2 * 4z2)) = 0
(1Z + 3z2 + (4z2Z + 12z4)) = 0
(1Z + 3z2 + 4z2Z + 12z4) = 0

Solving
1Z + 3z2 + 4z2Z + 12z4 = 0

Solving for variable 'Z'.

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

Add '-3z2' to each side of the equation.
1Z + 3z2 + 4z2Z + -3z2 + 12z4 = 0 + -3z2

Reorder the terms:
1Z + 3z2 + -3z2 + 4z2Z + 12z4 = 0 + -3z2

Combine like terms: 3z2 + -3z2 = 0
1Z + 0 + 4z2Z + 12z4 = 0 + -3z2
1Z + 4z2Z + 12z4 = 0 + -3z2
Remove the zero:
1Z + 4z2Z + 12z4 = -3z2

Add '-12z4' to each side of the equation.
1Z + 4z2Z + 12z4 + -12z4 = -3z2 + -12z4

Combine like terms: 12z4 + -12z4 = 0
1Z + 4z2Z + 0 = -3z2 + -12z4
1Z + 4z2Z = -3z2 + -12z4

Reorder the terms:
1Z + 3z2 + 4z2Z + 12z4 = -3z2 + -12z4 + 3z2 + 12z4

Reorder the terms:
1Z + 3z2 + 4z2Z + 12z4 = -3z2 + 3z2 + -12z4 + 12z4

Combine like terms: -3z2 + 3z2 = 0
1Z + 3z2 + 4z2Z + 12z4 = 0 + -12z4 + 12z4
1Z + 3z2 + 4z2Z + 12z4 = -12z4 + 12z4

Combine like terms: -12z4 + 12z4 = 0
1Z + 3z2 + 4z2Z + 12z4 = 0

The solution to this equation could not be determined.

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