(x^4+7x-6)(4x^3+14x)=

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Solution for (x^4+7x-6)(4x^3+14x)= equation: 


Simplifying
(x4 + 7x + -6)(4x3 + 14x) = 0

Reorder the terms:
(-6 + 7x + x4)(4x3 + 14x) = 0

Reorder the terms:
(-6 + 7x + x4)(14x + 4x3) = 0

Multiply (-6 + 7x + x4) * (14x + 4x3)
(-6(14x + 4x3) + 7x * (14x + 4x3) + x4(14x + 4x3)) = 0
((14x * -6 + 4x3 * -6) + 7x * (14x + 4x3) + x4(14x + 4x3)) = 0
((-84x + -24x3) + 7x * (14x + 4x3) + x4(14x + 4x3)) = 0
(-84x + -24x3 + (14x * 7x + 4x3 * 7x) + x4(14x + 4x3)) = 0
(-84x + -24x3 + (98x2 + 28x4) + x4(14x + 4x3)) = 0
(-84x + -24x3 + 98x2 + 28x4 + (14x * x4 + 4x3 * x4)) = 0
(-84x + -24x3 + 98x2 + 28x4 + (14x5 + 4x7)) = 0

Reorder the terms:
(-84x + 98x2 + -24x3 + 28x4 + 14x5 + 4x7) = 0
(-84x + 98x2 + -24x3 + 28x4 + 14x5 + 4x7) = 0

Solving
-84x + 98x2 + -24x3 + 28x4 + 14x5 + 4x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-42 + 49x + -12x2 + 14x3 + 7x4 + 2x6) = 0

Ignore the factor 2.

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 '(-42 + 49x + -12x2 + 14x3 + 7x4 + 2x6)' equal to zero and attempt to solve:

Simplifying
-42 + 49x + -12x2 + 14x3 + 7x4 + 2x6 = 0

Solving
-42 + 49x + -12x2 + 14x3 + 7x4 + 2x6 = 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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