15b^3nx^3-25b^4nx^2+20b^3n^4x^3=

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Solution for 15b^3nx^3-25b^4nx^2+20b^3n^4x^3= equation:


Simplifying
15b3nx3 + -25b4nx2 + 20b3n4x3 = 0

Reorder the terms:
15b3nx3 + 20b3n4x3 + -25b4nx2 = 0

Solving
15b3nx3 + 20b3n4x3 + -25b4nx2 = 0

Solving for variable 'b'.

Factor out the Greatest Common Factor (GCF), '5b3nx2'.
5b3nx2(3x + 4n3x + -5b) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'b3nx2' equal to zero and attempt to solve: Simplifying b3nx2 = 0 Solving b3nx2 = 0 Move all terms containing b to the left, all other terms to the right. Simplifying b3nx2 = 0 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 '(3x + 4n3x + -5b)' equal to zero and attempt to solve: Simplifying 3x + 4n3x + -5b = 0 Reorder the terms: -5b + 4n3x + 3x = 0 Solving -5b + 4n3x + 3x = 0 Move all terms containing b to the left, all other terms to the right. Add '-4n3x' to each side of the equation. -5b + 4n3x + -4n3x + 3x = 0 + -4n3x Combine like terms: 4n3x + -4n3x = 0 -5b + 0 + 3x = 0 + -4n3x -5b + 3x = 0 + -4n3x Remove the zero: -5b + 3x = -4n3x Add '-3x' to each side of the equation. -5b + 3x + -3x = -4n3x + -3x Combine like terms: 3x + -3x = 0 -5b + 0 = -4n3x + -3x -5b = -4n3x + -3x Divide each side by '-5'. b = 0.8n3x + 0.6x Simplifying b = 0.8n3x + 0.6x

Solution

b = {0.8n3x + 0.6x}

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