(x^2-4x-2)x(x+7)=

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


Simplifying
(x2 + -4x + -2) * x(x + 7) = 0

Reorder the terms:
(-2 + -4x + x2) * x(x + 7) = 0

Reorder the terms:
(-2 + -4x + x2) * x(7 + x) = 0

Reorder the terms for easier multiplication:
x(-2 + -4x + x2)(7 + x) = 0

Multiply (-2 + -4x + x2) * (7 + x)
x(-2(7 + x) + -4x * (7 + x) + x2(7 + x)) = 0
x((7 * -2 + x * -2) + -4x * (7 + x) + x2(7 + x)) = 0
x((-14 + -2x) + -4x * (7 + x) + x2(7 + x)) = 0
x(-14 + -2x + (7 * -4x + x * -4x) + x2(7 + x)) = 0
x(-14 + -2x + (-28x + -4x2) + x2(7 + x)) = 0
x(-14 + -2x + -28x + -4x2 + (7 * x2 + x * x2)) = 0
x(-14 + -2x + -28x + -4x2 + (7x2 + x3)) = 0

Combine like terms: -2x + -28x = -30x
x(-14 + -30x + -4x2 + 7x2 + x3) = 0

Combine like terms: -4x2 + 7x2 = 3x2
x(-14 + -30x + 3x2 + x3) = 0
(-14 * x + -30x * x + 3x2 * x + x3 * x) = 0
(-14x + -30x2 + 3x3 + x4) = 0

Solving
-14x + -30x2 + 3x3 + x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-14 + -30x + 3x2 + 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 '(-14 + -30x + 3x2 + x3)' equal to zero and attempt to solve:

Simplifying
-14 + -30x + 3x2 + x3 = 0

Solving
-14 + -30x + 3x2 + 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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