(3x^2-2x+16)x(5x^2+7x+19)=

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Solution for (3x^2-2x+16)x(5x^2+7x+19)= equation: 


Simplifying
(3x2 + -2x + 16) * x(5x2 + 7x + 19) = 0

Reorder the terms:
(16 + -2x + 3x2) * x(5x2 + 7x + 19) = 0

Reorder the terms:
(16 + -2x + 3x2) * x(19 + 7x + 5x2) = 0

Reorder the terms for easier multiplication:
x(16 + -2x + 3x2)(19 + 7x + 5x2) = 0

Multiply (16 + -2x + 3x2) * (19 + 7x + 5x2)
x(16(19 + 7x + 5x2) + -2x * (19 + 7x + 5x2) + 3x2 * (19 + 7x + 5x2)) = 0
x((19 * 16 + 7x * 16 + 5x2 * 16) + -2x * (19 + 7x + 5x2) + 3x2 * (19 + 7x + 5x2)) = 0
x((304 + 112x + 80x2) + -2x * (19 + 7x + 5x2) + 3x2 * (19 + 7x + 5x2)) = 0
x(304 + 112x + 80x2 + (19 * -2x + 7x * -2x + 5x2 * -2x) + 3x2 * (19 + 7x + 5x2)) = 0
x(304 + 112x + 80x2 + (-38x + -14x2 + -10x3) + 3x2 * (19 + 7x + 5x2)) = 0
x(304 + 112x + 80x2 + -38x + -14x2 + -10x3 + (19 * 3x2 + 7x * 3x2 + 5x2 * 3x2)) = 0
x(304 + 112x + 80x2 + -38x + -14x2 + -10x3 + (57x2 + 21x3 + 15x4)) = 0

Reorder the terms:
x(304 + 112x + -38x + 80x2 + -14x2 + 57x2 + -10x3 + 21x3 + 15x4) = 0

Combine like terms: 112x + -38x = 74x
x(304 + 74x + 80x2 + -14x2 + 57x2 + -10x3 + 21x3 + 15x4) = 0

Combine like terms: 80x2 + -14x2 = 66x2
x(304 + 74x + 66x2 + 57x2 + -10x3 + 21x3 + 15x4) = 0

Combine like terms: 66x2 + 57x2 = 123x2
x(304 + 74x + 123x2 + -10x3 + 21x3 + 15x4) = 0

Combine like terms: -10x3 + 21x3 = 11x3
x(304 + 74x + 123x2 + 11x3 + 15x4) = 0
(304 * x + 74x * x + 123x2 * x + 11x3 * x + 15x4 * x) = 0
(304x + 74x2 + 123x3 + 11x4 + 15x5) = 0

Solving
304x + 74x2 + 123x3 + 11x4 + 15x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(304 + 74x + 123x2 + 11x3 + 15x4) = 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 '(304 + 74x + 123x2 + 11x3 + 15x4)' equal to zero and attempt to solve:

Simplifying
304 + 74x + 123x2 + 11x3 + 15x4 = 0

Solving
304 + 74x + 123x2 + 11x3 + 15x4 = 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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