(2x^2+9x+4)(x^3y^4)=

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Solution for (2x^2+9x+4)(x^3y^4)= equation:


Simplifying
(2x2 + 9x + 4)(x3y4) = 0

Reorder the terms:
(4 + 9x + 2x2)(x3y4) = 0

Reorder the terms for easier multiplication:
x3y4(4 + 9x + 2x2) = 0
(4 * x3y4 + 9x * x3y4 + 2x2 * x3y4) = 0
(4x3y4 + 9x4y4 + 2x5y4) = 0

Solving
4x3y4 + 9x4y4 + 2x5y4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x3y4'.
x3y4(4 + 9x + 2x2) = 0

Factor a trinomial.
x3y4((4 + x)(1 + 2x)) = 0

Subproblem 1

Set the factor 'x3y4' equal to zero and attempt to solve: Simplifying x3y4 = 0 Solving x3y4 = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x3y4 = 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 '(4 + x)' equal to zero and attempt to solve: Simplifying 4 + x = 0 Solving 4 + x = 0 Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -4 + x = 0 + -4 Combine like terms: 4 + -4 = 0 0 + x = 0 + -4 x = 0 + -4 Combine like terms: 0 + -4 = -4 x = -4 Simplifying x = -4

Subproblem 3

Set the factor '(1 + 2x)' equal to zero and attempt to solve: Simplifying 1 + 2x = 0 Solving 1 + 2x = 0 Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 2x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = 0 + -1 2x = 0 + -1 Combine like terms: 0 + -1 = -1 2x = -1 Divide each side by '2'. x = -0.5 Simplifying x = -0.5

Solution

x = {-4, -0.5}

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