25x^4y+10x^3y^2+35x^2b^3=3

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Solution for 25x^4y+10x^3y^2+35x^2b^3=3 equation:


Simplifying
25x4y + 10x3y2 + 35x2b3 = 3

Reorder the terms:
35b3x2 + 10x3y2 + 25x4y = 3

Solving
35b3x2 + 10x3y2 + 25x4y = 3

Solving for variable 'b'.

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

Add '-10x3y2' to each side of the equation.
35b3x2 + 10x3y2 + -10x3y2 + 25x4y = 3 + -10x3y2

Combine like terms: 10x3y2 + -10x3y2 = 0
35b3x2 + 0 + 25x4y = 3 + -10x3y2
35b3x2 + 25x4y = 3 + -10x3y2

Add '-25x4y' to each side of the equation.
35b3x2 + 25x4y + -25x4y = 3 + -10x3y2 + -25x4y

Combine like terms: 25x4y + -25x4y = 0
35b3x2 + 0 = 3 + -10x3y2 + -25x4y
35b3x2 = 3 + -10x3y2 + -25x4y

Divide each side by '35x2'.
b3 = 0.08571428571x-2 + -0.2857142857xy2 + -0.7142857143x2y

Simplifying
b3 = 0.08571428571x-2 + -0.2857142857xy2 + -0.7142857143x2y

Reorder the terms:
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = 0.08571428571x-2 + -0.08571428571x-2 + -0.2857142857xy2 + 0.2857142857xy2 + -0.7142857143x2y + 0.7142857143x2y

Combine like terms: 0.08571428571x-2 + -0.08571428571x-2 = 0.00000000000
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = 0.00000000000 + -0.2857142857xy2 + 0.2857142857xy2 + -0.7142857143x2y + 0.7142857143x2y
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = -0.2857142857xy2 + 0.2857142857xy2 + -0.7142857143x2y + 0.7142857143x2y

Combine like terms: -0.2857142857xy2 + 0.2857142857xy2 = 0.0000000000
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = 0.0000000000 + -0.7142857143x2y + 0.7142857143x2y
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = -0.7142857143x2y + 0.7142857143x2y

Combine like terms: -0.7142857143x2y + 0.7142857143x2y = 0.0000000000
b3 + -0.08571428571x-2 + 0.2857142857xy2 + 0.7142857143x2y = 0.0000000000

Factor out the Greatest Common Factor (GCF), 'x-2'.
x-2(b3x2 + -0.08571428571 + 0.2857142857x3y2 + 0.7142857143x4y) = 0.0000000000

Subproblem 1

Set the factor 'x-2' equal to zero and attempt to solve: Simplifying x-2 = 0 Solving x-2 = 0 Move all terms containing b to the left, all other terms to the right. Add '-1x-2' to each side of the equation. x-2 + -1x-2 = 0 + -1x-2 Remove the zero: 0 = -1x-2 Simplifying 0 = -1x-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 '(b3x2 + -0.08571428571 + 0.2857142857x3y2 + 0.7142857143x4y)' equal to zero and attempt to solve: Simplifying b3x2 + -0.08571428571 + 0.2857142857x3y2 + 0.7142857143x4y = 0 Reorder the terms: -0.08571428571 + b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0 Solving -0.08571428571 + b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0 Move all terms containing b to the left, all other terms to the right. Add '0.08571428571' to each side of the equation. -0.08571428571 + b3x2 + 0.2857142857x3y2 + 0.08571428571 + 0.7142857143x4y = 0 + 0.08571428571 Reorder the terms: -0.08571428571 + 0.08571428571 + b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0 + 0.08571428571 Combine like terms: -0.08571428571 + 0.08571428571 = 0.00000000000 0.00000000000 + b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0 + 0.08571428571 b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0 + 0.08571428571 Combine like terms: 0 + 0.08571428571 = 0.08571428571 b3x2 + 0.2857142857x3y2 + 0.7142857143x4y = 0.08571428571 Add '-0.2857142857x3y2' to each side of the equation. b3x2 + 0.2857142857x3y2 + -0.2857142857x3y2 + 0.7142857143x4y = 0.08571428571 + -0.2857142857x3y2 Combine like terms: 0.2857142857x3y2 + -0.2857142857x3y2 = 0.0000000000 b3x2 + 0.0000000000 + 0.7142857143x4y = 0.08571428571 + -0.2857142857x3y2 b3x2 + 0.7142857143x4y = 0.08571428571 + -0.2857142857x3y2 Add '-0.7142857143x4y' to each side of the equation. b3x2 + 0.7142857143x4y + -0.7142857143x4y = 0.08571428571 + -0.2857142857x3y2 + -0.7142857143x4y Combine like terms: 0.7142857143x4y + -0.7142857143x4y = 0.0000000000 b3x2 + 0.0000000000 = 0.08571428571 + -0.2857142857x3y2 + -0.7142857143x4y b3x2 = 0.08571428571 + -0.2857142857x3y2 + -0.7142857143x4y Divide each side by 'x2'. b3 = 0.08571428571x-2 + -0.2857142857xy2 + -0.7142857143x2y Simplifying b3 = 0.08571428571x-2 + -0.2857142857xy2 + -0.7142857143x2y 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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