(x^2+10x+9)(x^2+4x)=0

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Solution for (x^2+10x+9)(x^2+4x)=0 equation:


Simplifying
(x2 + 10x + 9)(x2 + 4x) = 0

Reorder the terms:
(9 + 10x + x2)(x2 + 4x) = 0

Reorder the terms:
(9 + 10x + x2)(4x + x2) = 0

Multiply (9 + 10x + x2) * (4x + x2)
(9(4x + x2) + 10x * (4x + x2) + x2(4x + x2)) = 0
((4x * 9 + x2 * 9) + 10x * (4x + x2) + x2(4x + x2)) = 0
((36x + 9x2) + 10x * (4x + x2) + x2(4x + x2)) = 0
(36x + 9x2 + (4x * 10x + x2 * 10x) + x2(4x + x2)) = 0
(36x + 9x2 + (40x2 + 10x3) + x2(4x + x2)) = 0
(36x + 9x2 + 40x2 + 10x3 + (4x * x2 + x2 * x2)) = 0
(36x + 9x2 + 40x2 + 10x3 + (4x3 + x4)) = 0

Combine like terms: 9x2 + 40x2 = 49x2
(36x + 49x2 + 10x3 + 4x3 + x4) = 0

Combine like terms: 10x3 + 4x3 = 14x3
(36x + 49x2 + 14x3 + x4) = 0

Solving
36x + 49x2 + 14x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(36 + 49x + 14x2 + x3) = 0

Subproblem 1

Set the factor 'x' equal to zero and attempt to solve: Simplifying x = 0 Solving x = 0 Move all terms containing x to the left, all other terms to the right. Simplifying x = 0

Subproblem 2

Set the factor '(36 + 49x + 14x2 + x3)' equal to zero and attempt to solve: Simplifying 36 + 49x + 14x2 + x3 = 0 Solving 36 + 49x + 14x2 + x3 = 0 The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined.

Solution

x = {0}

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