5x(5-x^2)(x^2+14x+49)(x^2+1)=0

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Solution for 5x(5-x^2)(x^2+14x+49)(x^2+1)=0 equation: 


Simplifying
5x(5 + -1x2)(x2 + 14x + 49)(x2 + 1) = 0

Reorder the terms:
5x(5 + -1x2)(49 + 14x + x2)(x2 + 1) = 0

Reorder the terms:
5x(5 + -1x2)(49 + 14x + x2)(1 + x2) = 0

Multiply (5 + -1x2) * (49 + 14x + x2)
5x(5(49 + 14x + x2) + -1x2 * (49 + 14x + x2))(1 + x2) = 0
5x((49 * 5 + 14x * 5 + x2 * 5) + -1x2 * (49 + 14x + x2))(1 + x2) = 0
5x((245 + 70x + 5x2) + -1x2 * (49 + 14x + x2))(1 + x2) = 0
5x(245 + 70x + 5x2 + (49 * -1x2 + 14x * -1x2 + x2 * -1x2))(1 + x2) = 0
5x(245 + 70x + 5x2 + (-49x2 + -14x3 + -1x4))(1 + x2) = 0

Combine like terms: 5x2 + -49x2 = -44x2
5x(245 + 70x + -44x2 + -14x3 + -1x4)(1 + x2) = 0

Multiply (245 + 70x + -44x2 + -14x3 + -1x4) * (1 + x2)
5x(245(1 + x2) + 70x * (1 + x2) + -44x2 * (1 + x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x((1 * 245 + x2 * 245) + 70x * (1 + x2) + -44x2 * (1 + x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x((245 + 245x2) + 70x * (1 + x2) + -44x2 * (1 + x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + (1 * 70x + x2 * 70x) + -44x2 * (1 + x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + (70x + 70x3) + -44x2 * (1 + x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + 70x + 70x3 + (1 * -44x2 + x2 * -44x2) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + 70x + 70x3 + (-44x2 + -44x4) + -14x3 * (1 + x2) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + 70x + 70x3 + -44x2 + -44x4 + (1 * -14x3 + x2 * -14x3) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + 70x + 70x3 + -44x2 + -44x4 + (-14x3 + -14x5) + -1x4 * (1 + x2)) = 0
5x(245 + 245x2 + 70x + 70x3 + -44x2 + -44x4 + -14x3 + -14x5 + (1 * -1x4 + x2 * -1x4)) = 0
5x(245 + 245x2 + 70x + 70x3 + -44x2 + -44x4 + -14x3 + -14x5 + (-1x4 + -1x6)) = 0

Reorder the terms:
5x(245 + 70x + 245x2 + -44x2 + 70x3 + -14x3 + -44x4 + -1x4 + -14x5 + -1x6) = 0

Combine like terms: 245x2 + -44x2 = 201x2
5x(245 + 70x + 201x2 + 70x3 + -14x3 + -44x4 + -1x4 + -14x5 + -1x6) = 0

Combine like terms: 70x3 + -14x3 = 56x3
5x(245 + 70x + 201x2 + 56x3 + -44x4 + -1x4 + -14x5 + -1x6) = 0

Combine like terms: -44x4 + -1x4 = -45x4
5x(245 + 70x + 201x2 + 56x3 + -45x4 + -14x5 + -1x6) = 0
(245 * 5x + 70x * 5x + 201x2 * 5x + 56x3 * 5x + -45x4 * 5x + -14x5 * 5x + -1x6 * 5x) = 0
(1225x + 350x2 + 1005x3 + 280x4 + -225x5 + -70x6 + -5x7) = 0

Solving
1225x + 350x2 + 1005x3 + 280x4 + -225x5 + -70x6 + -5x7 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(245 + 70x + 201x2 + 56x3 + -45x4 + -14x5 + -1x6) = 0

Ignore the factor 5.

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 '(245 + 70x + 201x2 + 56x3 + -45x4 + -14x5 + -1x6)' equal to zero and attempt to solve:

Simplifying
245 + 70x + 201x2 + 56x3 + -45x4 + -14x5 + -1x6 = 0

Solving
245 + 70x + 201x2 + 56x3 + -45x4 + -14x5 + -1x6 = 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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