3x^3a^3-11x^4a^2-20x^5a=

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Solution for 3x^3a^3-11x^4a^2-20x^5a= equation:


Simplifying
3x3a3 + -11x4a2 + -20x5a = 0

Reorder the terms:
-20ax5 + -11a2x4 + 3a3x3 = 0

Solving
-20ax5 + -11a2x4 + 3a3x3 = 0

Solving for variable 'a'.

Factor out the Greatest Common Factor (GCF), 'ax3'.
ax3(-20x2 + -11ax + 3a2) = 0

Factor a trinomial.
ax3((-4x + -3a)(5x + -1a)) = 0

Subproblem 1

Set the factor 'ax3' equal to zero and attempt to solve: Simplifying ax3 = 0 Solving ax3 = 0 Move all terms containing a to the left, all other terms to the right. Simplifying ax3 = 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 '(-4x + -3a)' equal to zero and attempt to solve: Simplifying -4x + -3a = 0 Reorder the terms: -3a + -4x = 0 Solving -3a + -4x = 0 Move all terms containing a to the left, all other terms to the right. Add '4x' to each side of the equation. -3a + -4x + 4x = 0 + 4x Combine like terms: -4x + 4x = 0 -3a + 0 = 0 + 4x -3a = 0 + 4x Remove the zero: -3a = 4x Divide each side by '-3'. a = -1.333333333x Simplifying a = -1.333333333x

Subproblem 3

Set the factor '(5x + -1a)' equal to zero and attempt to solve: Simplifying 5x + -1a = 0 Reorder the terms: -1a + 5x = 0 Solving -1a + 5x = 0 Move all terms containing a to the left, all other terms to the right. Add '-5x' to each side of the equation. -1a + 5x + -5x = 0 + -5x Combine like terms: 5x + -5x = 0 -1a + 0 = 0 + -5x -1a = 0 + -5x Remove the zero: -1a = -5x Divide each side by '-1'. a = 5x Simplifying a = 5x

Solution

a = {-1.333333333x, 5x}

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