(x^2-4x-7)x(x^2-2x+5)=

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Solution for (x^2-4x-7)x(x^2-2x+5)= equation: 


Simplifying
(x2 + -4x + -7) * x(x2 + -2x + 5) = 0

Reorder the terms:
(-7 + -4x + x2) * x(x2 + -2x + 5) = 0

Reorder the terms:
(-7 + -4x + x2) * x(5 + -2x + x2) = 0

Reorder the terms for easier multiplication:
x(-7 + -4x + x2)(5 + -2x + x2) = 0

Multiply (-7 + -4x + x2) * (5 + -2x + x2)
x(-7(5 + -2x + x2) + -4x * (5 + -2x + x2) + x2(5 + -2x + x2)) = 0
x((5 * -7 + -2x * -7 + x2 * -7) + -4x * (5 + -2x + x2) + x2(5 + -2x + x2)) = 0
x((-35 + 14x + -7x2) + -4x * (5 + -2x + x2) + x2(5 + -2x + x2)) = 0
x(-35 + 14x + -7x2 + (5 * -4x + -2x * -4x + x2 * -4x) + x2(5 + -2x + x2)) = 0
x(-35 + 14x + -7x2 + (-20x + 8x2 + -4x3) + x2(5 + -2x + x2)) = 0
x(-35 + 14x + -7x2 + -20x + 8x2 + -4x3 + (5 * x2 + -2x * x2 + x2 * x2)) = 0
x(-35 + 14x + -7x2 + -20x + 8x2 + -4x3 + (5x2 + -2x3 + x4)) = 0

Reorder the terms:
x(-35 + 14x + -20x + -7x2 + 8x2 + 5x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: 14x + -20x = -6x
x(-35 + -6x + -7x2 + 8x2 + 5x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: -7x2 + 8x2 = 1x2
x(-35 + -6x + 1x2 + 5x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: 1x2 + 5x2 = 6x2
x(-35 + -6x + 6x2 + -4x3 + -2x3 + x4) = 0

Combine like terms: -4x3 + -2x3 = -6x3
x(-35 + -6x + 6x2 + -6x3 + x4) = 0
(-35 * x + -6x * x + 6x2 * x + -6x3 * x + x4 * x) = 0
(-35x + -6x2 + 6x3 + -6x4 + x5) = 0

Solving
-35x + -6x2 + 6x3 + -6x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + -6x + 6x2 + -6x3 + x4) = 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 '(-35 + -6x + 6x2 + -6x3 + x4)' equal to zero and attempt to solve:

Simplifying
-35 + -6x + 6x2 + -6x3 + x4 = 0

Solving
-35 + -6x + 6x2 + -6x3 + x4 = 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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