14y^3-7+8a^2b^2-12-18b^2a^2=

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Solution for 14y^3-7+8a^2b^2-12-18b^2a^2= equation:


Simplifying
14y3 + -7 + 8a2b2 + -12 + -18b2a2 = 0

Reorder the terms:
-7 + -12 + 8a2b2 + -18a2b2 + 14y3 = 0

Combine like terms: -7 + -12 = -19
-19 + 8a2b2 + -18a2b2 + 14y3 = 0

Combine like terms: 8a2b2 + -18a2b2 = -10a2b2
-19 + -10a2b2 + 14y3 = 0

Solving
-19 + -10a2b2 + 14y3 = 0

Solving for variable 'a'.

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

Add '19' to each side of the equation.
-19 + -10a2b2 + 19 + 14y3 = 0 + 19

Reorder the terms:
-19 + 19 + -10a2b2 + 14y3 = 0 + 19

Combine like terms: -19 + 19 = 0
0 + -10a2b2 + 14y3 = 0 + 19
-10a2b2 + 14y3 = 0 + 19

Combine like terms: 0 + 19 = 19
-10a2b2 + 14y3 = 19

Add '-14y3' to each side of the equation.
-10a2b2 + 14y3 + -14y3 = 19 + -14y3

Combine like terms: 14y3 + -14y3 = 0
-10a2b2 + 0 = 19 + -14y3
-10a2b2 = 19 + -14y3

Divide each side by '-10b2'.
a2 = -1.9b-2 + 1.4b-2y3

Simplifying
a2 = -1.9b-2 + 1.4b-2y3

Reorder the terms:
a2 + 1.9b-2 + -1.4b-2y3 = -1.9b-2 + 1.9b-2 + 1.4b-2y3 + -1.4b-2y3

Combine like terms: -1.9b-2 + 1.9b-2 = 0.0
a2 + 1.9b-2 + -1.4b-2y3 = 0.0 + 1.4b-2y3 + -1.4b-2y3
a2 + 1.9b-2 + -1.4b-2y3 = 1.4b-2y3 + -1.4b-2y3

Combine like terms: 1.4b-2y3 + -1.4b-2y3 = 0.0
a2 + 1.9b-2 + -1.4b-2y3 = 0.0

Factor out the Greatest Common Factor (GCF), 'b-2'.
b-2(a2b2 + 1.9 + -1.4y3) = 0.0

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 + 1.9 + -1.4y3)' equal to zero and attempt to solve: Simplifying a2b2 + 1.9 + -1.4y3 = 0 Reorder the terms: 1.9 + a2b2 + -1.4y3 = 0 Solving 1.9 + a2b2 + -1.4y3 = 0 Move all terms containing a to the left, all other terms to the right. Add '-1.9' to each side of the equation. 1.9 + a2b2 + -1.9 + -1.4y3 = 0 + -1.9 Reorder the terms: 1.9 + -1.9 + a2b2 + -1.4y3 = 0 + -1.9 Combine like terms: 1.9 + -1.9 = 0.0 0.0 + a2b2 + -1.4y3 = 0 + -1.9 a2b2 + -1.4y3 = 0 + -1.9 Combine like terms: 0 + -1.9 = -1.9 a2b2 + -1.4y3 = -1.9 Add '1.4y3' to each side of the equation. a2b2 + -1.4y3 + 1.4y3 = -1.9 + 1.4y3 Combine like terms: -1.4y3 + 1.4y3 = 0.0 a2b2 + 0.0 = -1.9 + 1.4y3 a2b2 = -1.9 + 1.4y3 Divide each side by 'b2'. a2 = -1.9b-2 + 1.4b-2y3 Simplifying a2 = -1.9b-2 + 1.4b-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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