12y^3-4+3a^2b^2-14-19b^2a^2=

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Solution for 12y^3-4+3a^2b^2-14-19b^2a^2= equation:


Simplifying
12y3 + -4 + 3a2b2 + -14 + -19b2a2 = 0

Reorder the terms:
-4 + -14 + 3a2b2 + -19a2b2 + 12y3 = 0

Combine like terms: -4 + -14 = -18
-18 + 3a2b2 + -19a2b2 + 12y3 = 0

Combine like terms: 3a2b2 + -19a2b2 = -16a2b2
-18 + -16a2b2 + 12y3 = 0

Solving
-18 + -16a2b2 + 12y3 = 0

Solving for variable 'a'.

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

Add '18' to each side of the equation.
-18 + -16a2b2 + 18 + 12y3 = 0 + 18

Reorder the terms:
-18 + 18 + -16a2b2 + 12y3 = 0 + 18

Combine like terms: -18 + 18 = 0
0 + -16a2b2 + 12y3 = 0 + 18
-16a2b2 + 12y3 = 0 + 18

Combine like terms: 0 + 18 = 18
-16a2b2 + 12y3 = 18

Add '-12y3' to each side of the equation.
-16a2b2 + 12y3 + -12y3 = 18 + -12y3

Combine like terms: 12y3 + -12y3 = 0
-16a2b2 + 0 = 18 + -12y3
-16a2b2 = 18 + -12y3

Divide each side by '-16b2'.
a2 = -1.125b-2 + 0.75b-2y3

Simplifying
a2 = -1.125b-2 + 0.75b-2y3

Reorder the terms:
a2 + 1.125b-2 + -0.75b-2y3 = -1.125b-2 + 1.125b-2 + 0.75b-2y3 + -0.75b-2y3

Combine like terms: -1.125b-2 + 1.125b-2 = 0.000
a2 + 1.125b-2 + -0.75b-2y3 = 0.000 + 0.75b-2y3 + -0.75b-2y3
a2 + 1.125b-2 + -0.75b-2y3 = 0.75b-2y3 + -0.75b-2y3

Combine like terms: 0.75b-2y3 + -0.75b-2y3 = 0.00
a2 + 1.125b-2 + -0.75b-2y3 = 0.00

Factor out the Greatest Common Factor (GCF), 'b-2'.
b-2(a2b2 + 1.125 + -0.75y3) = 0.00

Subproblem 1

Set the factor 'b-2' equal to zero and attempt to solve: Simplifying b-2 = 0 Solving b-2 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1b-2' to each side of the equation. b-2 + -1b-2 = 0 + -1b-2 Remove the zero: 0 = -1b-2 Simplifying 0 = -1b-2 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 '(a2b2 + 1.125 + -0.75y3)' equal to zero and attempt to solve: Simplifying a2b2 + 1.125 + -0.75y3 = 0 Reorder the terms: 1.125 + a2b2 + -0.75y3 = 0 Solving 1.125 + a2b2 + -0.75y3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.125' to each side of the equation. 1.125 + a2b2 + -1.125 + -0.75y3 = 0 + -1.125 Reorder the terms: 1.125 + -1.125 + a2b2 + -0.75y3 = 0 + -1.125 Combine like terms: 1.125 + -1.125 = 0.000 0.000 + a2b2 + -0.75y3 = 0 + -1.125 a2b2 + -0.75y3 = 0 + -1.125 Combine like terms: 0 + -1.125 = -1.125 a2b2 + -0.75y3 = -1.125 Add '0.75y3' to each side of the equation. a2b2 + -0.75y3 + 0.75y3 = -1.125 + 0.75y3 Combine like terms: -0.75y3 + 0.75y3 = 0.00 a2b2 + 0.00 = -1.125 + 0.75y3 a2b2 = -1.125 + 0.75y3 Divide each side by 'b2'. a2 = -1.125b-2 + 0.75b-2y3 Simplifying a2 = -1.125b-2 + 0.75b-2y3 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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