(14x^4-28x^2+35x)(7x+2)=

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Solution for (14x^4-28x^2+35x)(7x+2)= equation: 


Simplifying
(14x4 + -28x2 + 35x)(7x + 2) = 0

Reorder the terms:
(35x + -28x2 + 14x4)(7x + 2) = 0

Reorder the terms:
(35x + -28x2 + 14x4)(2 + 7x) = 0

Multiply (35x + -28x2 + 14x4) * (2 + 7x)
(35x * (2 + 7x) + -28x2 * (2 + 7x) + 14x4 * (2 + 7x)) = 0
((2 * 35x + 7x * 35x) + -28x2 * (2 + 7x) + 14x4 * (2 + 7x)) = 0
((70x + 245x2) + -28x2 * (2 + 7x) + 14x4 * (2 + 7x)) = 0
(70x + 245x2 + (2 * -28x2 + 7x * -28x2) + 14x4 * (2 + 7x)) = 0
(70x + 245x2 + (-56x2 + -196x3) + 14x4 * (2 + 7x)) = 0
(70x + 245x2 + -56x2 + -196x3 + (2 * 14x4 + 7x * 14x4)) = 0
(70x + 245x2 + -56x2 + -196x3 + (28x4 + 98x5)) = 0

Combine like terms: 245x2 + -56x2 = 189x2
(70x + 189x2 + -196x3 + 28x4 + 98x5) = 0

Solving
70x + 189x2 + -196x3 + 28x4 + 98x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '7x'.
7x(10 + 27x + -28x2 + 4x3 + 14x4) = 0

Ignore the factor 7.

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 '(10 + 27x + -28x2 + 4x3 + 14x4)' equal to zero and attempt to solve:

Simplifying
10 + 27x + -28x2 + 4x3 + 14x4 = 0

Solving
10 + 27x + -28x2 + 4x3 + 14x4 = 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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