2x(2-5x)(x+7)(x^2+5)=0

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Solution for 2x(2-5x)(x+7)(x^2+5)=0 equation:


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

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

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

Multiply (2 + -5x) * (7 + x)
2x(2(7 + x) + -5x * (7 + x))(5 + x2) = 0
2x((7 * 2 + x * 2) + -5x * (7 + x))(5 + x2) = 0
2x((14 + 2x) + -5x * (7 + x))(5 + x2) = 0
2x(14 + 2x + (7 * -5x + x * -5x))(5 + x2) = 0
2x(14 + 2x + (-35x + -5x2))(5 + x2) = 0

Combine like terms: 2x + -35x = -33x
2x(14 + -33x + -5x2)(5 + x2) = 0

Multiply (14 + -33x + -5x2) * (5 + x2)
2x(14(5 + x2) + -33x * (5 + x2) + -5x2 * (5 + x2)) = 0
2x((5 * 14 + x2 * 14) + -33x * (5 + x2) + -5x2 * (5 + x2)) = 0
2x((70 + 14x2) + -33x * (5 + x2) + -5x2 * (5 + x2)) = 0
2x(70 + 14x2 + (5 * -33x + x2 * -33x) + -5x2 * (5 + x2)) = 0
2x(70 + 14x2 + (-165x + -33x3) + -5x2 * (5 + x2)) = 0
2x(70 + 14x2 + -165x + -33x3 + (5 * -5x2 + x2 * -5x2)) = 0
2x(70 + 14x2 + -165x + -33x3 + (-25x2 + -5x4)) = 0

Reorder the terms:
2x(70 + -165x + 14x2 + -25x2 + -33x3 + -5x4) = 0

Combine like terms: 14x2 + -25x2 = -11x2
2x(70 + -165x + -11x2 + -33x3 + -5x4) = 0
(70 * 2x + -165x * 2x + -11x2 * 2x + -33x3 * 2x + -5x4 * 2x) = 0
(140x + -330x2 + -22x3 + -66x4 + -10x5) = 0

Solving
140x + -330x2 + -22x3 + -66x4 + -10x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(70 + -165x + -11x2 + -33x3 + -5x4) = 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 '(70 + -165x + -11x2 + -33x3 + -5x4)' equal to zero and attempt to solve:

Simplifying
70 + -165x + -11x2 + -33x3 + -5x4 = 0

Solving
70 + -165x + -11x2 + -33x3 + -5x4 = 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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