(3x-z^2)(4x-3z^2)=

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Solution for (3x-z^2)(4x-3z^2)= equation: 


Simplifying
(3x + -1z2)(4x + -3z2) = 0

Multiply (3x + -1z2) * (4x + -3z2)
(3x * (4x + -3z2) + -1z2 * (4x + -3z2)) = 0
((4x * 3x + -3z2 * 3x) + -1z2 * (4x + -3z2)) = 0

Reorder the terms:
((-9xz2 + 12x2) + -1z2 * (4x + -3z2)) = 0
((-9xz2 + 12x2) + -1z2 * (4x + -3z2)) = 0
(-9xz2 + 12x2 + (4x * -1z2 + -3z2 * -1z2)) = 0
(-9xz2 + 12x2 + (-4xz2 + 3z4)) = 0

Reorder the terms:
(-9xz2 + -4xz2 + 12x2 + 3z4) = 0

Combine like terms: -9xz2 + -4xz2 = -13xz2
(-13xz2 + 12x2 + 3z4) = 0

Solving
-13xz2 + 12x2 + 3z4 = 0

Solving for variable 'x'.

Factor a trinomial.
(4x + -3z2)(3x + -1z2) = 0


Subproblem 1
Set the factor '(4x + -3z2)' equal to zero and attempt to solve:

Simplifying
4x + -3z2 = 0

Solving
4x + -3z2 = 0

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

Add '3z2' to each side of the equation.
4x + -3z2 + 3z2 = 0 + 3z2

Combine like terms: -3z2 + 3z2 = 0
4x + 0 = 0 + 3z2
4x = 0 + 3z2
Remove the zero:
4x = 3z2

Divide each side by '4'.
x = 0.75z2

Simplifying
x = 0.75z2

Subproblem 2
Set the factor '(3x + -1z2)' equal to zero and attempt to solve:

Simplifying
3x + -1z2 = 0

Solving
3x + -1z2 = 0

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

Add 'z2' to each side of the equation.
3x + -1z2 + z2 = 0 + z2

Combine like terms: -1z2 + z2 = 0
3x + 0 = 0 + z2
3x = 0 + z2
Remove the zero:
3x = z2

Divide each side by '3'.
x = 0.3333333333z2

Simplifying
x = 0.3333333333z2
Solution
x = {0.75z2, 0.3333333333z2}

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