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

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


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

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

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

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

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

Combine like terms: -5x + 14x = 9x
2x(-35 + 9x + 2x2)(5 + x2) = 0

Multiply (-35 + 9x + 2x2) * (5 + x2)
2x(-35(5 + x2) + 9x * (5 + x2) + 2x2 * (5 + x2)) = 0
2x((5 * -35 + x2 * -35) + 9x * (5 + x2) + 2x2 * (5 + x2)) = 0
2x((-175 + -35x2) + 9x * (5 + x2) + 2x2 * (5 + x2)) = 0
2x(-175 + -35x2 + (5 * 9x + x2 * 9x) + 2x2 * (5 + x2)) = 0
2x(-175 + -35x2 + (45x + 9x3) + 2x2 * (5 + x2)) = 0
2x(-175 + -35x2 + 45x + 9x3 + (5 * 2x2 + x2 * 2x2)) = 0
2x(-175 + -35x2 + 45x + 9x3 + (10x2 + 2x4)) = 0

Reorder the terms:
2x(-175 + 45x + -35x2 + 10x2 + 9x3 + 2x4) = 0

Combine like terms: -35x2 + 10x2 = -25x2
2x(-175 + 45x + -25x2 + 9x3 + 2x4) = 0
(-175 * 2x + 45x * 2x + -25x2 * 2x + 9x3 * 2x + 2x4 * 2x) = 0
(-350x + 90x2 + -50x3 + 18x4 + 4x5) = 0

Solving
-350x + 90x2 + -50x3 + 18x4 + 4x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '2x'.
2x(-175 + 45x + -25x2 + 9x3 + 2x4) = 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 '(-175 + 45x + -25x2 + 9x3 + 2x4)' equal to zero and attempt to solve:

Simplifying
-175 + 45x + -25x2 + 9x3 + 2x4 = 0

Solving
-175 + 45x + -25x2 + 9x3 + 2x4 = 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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