(4z^2-12x+1)(z^2+3z-8)=

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Solution for (4z^2-12x+1)(z^2+3z-8)= equation: 


Simplifying
(4z2 + -12x + 1)(z2 + 3z + -8) = 0

Reorder the terms:
(1 + -12x + 4z2)(z2 + 3z + -8) = 0

Reorder the terms:
(1 + -12x + 4z2)(-8 + 3z + z2) = 0

Multiply (1 + -12x + 4z2) * (-8 + 3z + z2)
(1(-8 + 3z + z2) + -12x * (-8 + 3z + z2) + 4z2 * (-8 + 3z + z2)) = 0
((-8 * 1 + 3z * 1 + z2 * 1) + -12x * (-8 + 3z + z2) + 4z2 * (-8 + 3z + z2)) = 0
((-8 + 3z + 1z2) + -12x * (-8 + 3z + z2) + 4z2 * (-8 + 3z + z2)) = 0
(-8 + 3z + 1z2 + (-8 * -12x + 3z * -12x + z2 * -12x) + 4z2 * (-8 + 3z + z2)) = 0
(-8 + 3z + 1z2 + (96x + -36xz + -12xz2) + 4z2 * (-8 + 3z + z2)) = 0
(-8 + 3z + 1z2 + 96x + -36xz + -12xz2 + (-8 * 4z2 + 3z * 4z2 + z2 * 4z2)) = 0
(-8 + 3z + 1z2 + 96x + -36xz + -12xz2 + (-32z2 + 12z3 + 4z4)) = 0

Reorder the terms:
(-8 + 96x + -36xz + -12xz2 + 3z + 1z2 + -32z2 + 12z3 + 4z4) = 0

Combine like terms: 1z2 + -32z2 = -31z2
(-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4) = 0

Solving
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0

Solving for variable 'x'.

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

Add '8' to each side of the equation.
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 8 + 4z4 = 0 + 8

Reorder the terms:
-8 + 8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + 8

Combine like terms: -8 + 8 = 0
0 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + 8
96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + 8

Combine like terms: 0 + 8 = 8
96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 8

Add '-3z' to each side of the equation.
96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + -3z + 4z4 = 8 + -3z

Reorder the terms:
96x + -36xz + -12xz2 + 3z + -3z + -31z2 + 12z3 + 4z4 = 8 + -3z

Combine like terms: 3z + -3z = 0
96x + -36xz + -12xz2 + 0 + -31z2 + 12z3 + 4z4 = 8 + -3z
96x + -36xz + -12xz2 + -31z2 + 12z3 + 4z4 = 8 + -3z

Add '31z2' to each side of the equation.
96x + -36xz + -12xz2 + -31z2 + 12z3 + 31z2 + 4z4 = 8 + -3z + 31z2

Reorder the terms:
96x + -36xz + -12xz2 + -31z2 + 31z2 + 12z3 + 4z4 = 8 + -3z + 31z2

Combine like terms: -31z2 + 31z2 = 0
96x + -36xz + -12xz2 + 0 + 12z3 + 4z4 = 8 + -3z + 31z2
96x + -36xz + -12xz2 + 12z3 + 4z4 = 8 + -3z + 31z2

Add '-12z3' to each side of the equation.
96x + -36xz + -12xz2 + 12z3 + -12z3 + 4z4 = 8 + -3z + 31z2 + -12z3

Combine like terms: 12z3 + -12z3 = 0
96x + -36xz + -12xz2 + 0 + 4z4 = 8 + -3z + 31z2 + -12z3
96x + -36xz + -12xz2 + 4z4 = 8 + -3z + 31z2 + -12z3

Add '-4z4' to each side of the equation.
96x + -36xz + -12xz2 + 4z4 + -4z4 = 8 + -3z + 31z2 + -12z3 + -4z4

Combine like terms: 4z4 + -4z4 = 0
96x + -36xz + -12xz2 + 0 = 8 + -3z + 31z2 + -12z3 + -4z4
96x + -36xz + -12xz2 = 8 + -3z + 31z2 + -12z3 + -4z4

Reorder the terms:
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 8 + -3z + 31z2 + -12z3 + -4z4 + -8 + 3z + -31z2 + 12z3 + 4z4

Reorder the terms:
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 8 + -8 + -3z + 3z + 31z2 + -31z2 + -12z3 + 12z3 + -4z4 + 4z4

Combine like terms: 8 + -8 = 0
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + -3z + 3z + 31z2 + -31z2 + -12z3 + 12z3 + -4z4 + 4z4
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = -3z + 3z + 31z2 + -31z2 + -12z3 + 12z3 + -4z4 + 4z4

Combine like terms: -3z + 3z = 0
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + 31z2 + -31z2 + -12z3 + 12z3 + -4z4 + 4z4
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 31z2 + -31z2 + -12z3 + 12z3 + -4z4 + 4z4

Combine like terms: 31z2 + -31z2 = 0
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + -12z3 + 12z3 + -4z4 + 4z4
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = -12z3 + 12z3 + -4z4 + 4z4

Combine like terms: -12z3 + 12z3 = 0
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0 + -4z4 + 4z4
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = -4z4 + 4z4

Combine like terms: -4z4 + 4z4 = 0
-8 + 96x + -36xz + -12xz2 + 3z + -31z2 + 12z3 + 4z4 = 0

The solution to this equation could not be determined.

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