15x^4y^3+155x^3y^3-300x^2y^3=0

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Solution for 15x^4y^3+155x^3y^3-300x^2y^3=0 equation:


Simplifying
15x4y3 + 155x3y3 + -300x2y3 = 0

Reorder the terms:
-300x2y3 + 155x3y3 + 15x4y3 = 0

Solving
-300x2y3 + 155x3y3 + 15x4y3 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x2y3'.
5x2y3(-60 + 31x + 3x2) = 0

Factor a trinomial.
5x2y3((-12 + -1x)(5 + -3x)) = 0

Ignore the factor 5.

Subproblem 1

Set the factor 'x2y3' equal to zero and attempt to solve: Simplifying x2y3 = 0 Solving x2y3 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x2y3 = 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 '(-12 + -1x)' equal to zero and attempt to solve: Simplifying -12 + -1x = 0 Solving -12 + -1x = 0 Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12

Subproblem 3

Set the factor '(5 + -3x)' equal to zero and attempt to solve: Simplifying 5 + -3x = 0 Solving 5 + -3x = 0 Move all terms containing x to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + -5 + -3x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -3x = 0 + -5 -3x = 0 + -5 Combine like terms: 0 + -5 = -5 -3x = -5 Divide each side by '-3'. x = 1.666666667 Simplifying x = 1.666666667

Solution

x = {-12, 1.666666667}

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