x(2x+5)(3x+1)(x-7)=0

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Solution for x(2x+5)(3x+1)(x-7)=0 equation: 


Simplifying
x(2x + 5)(3x + 1)(x + -7) = 0

Reorder the terms:
x(5 + 2x)(3x + 1)(x + -7) = 0

Reorder the terms:
x(5 + 2x)(1 + 3x)(x + -7) = 0

Reorder the terms:
x(5 + 2x)(1 + 3x)(-7 + x) = 0

Multiply (5 + 2x) * (1 + 3x)
x(5(1 + 3x) + 2x * (1 + 3x))(-7 + x) = 0
x((1 * 5 + 3x * 5) + 2x * (1 + 3x))(-7 + x) = 0
x((5 + 15x) + 2x * (1 + 3x))(-7 + x) = 0
x(5 + 15x + (1 * 2x + 3x * 2x))(-7 + x) = 0
x(5 + 15x + (2x + 6x2))(-7 + x) = 0

Combine like terms: 15x + 2x = 17x
x(5 + 17x + 6x2)(-7 + x) = 0

Multiply (5 + 17x + 6x2) * (-7 + x)
x(5(-7 + x) + 17x * (-7 + x) + 6x2 * (-7 + x)) = 0
x((-7 * 5 + x * 5) + 17x * (-7 + x) + 6x2 * (-7 + x)) = 0
x((-35 + 5x) + 17x * (-7 + x) + 6x2 * (-7 + x)) = 0
x(-35 + 5x + (-7 * 17x + x * 17x) + 6x2 * (-7 + x)) = 0
x(-35 + 5x + (-119x + 17x2) + 6x2 * (-7 + x)) = 0
x(-35 + 5x + -119x + 17x2 + (-7 * 6x2 + x * 6x2)) = 0
x(-35 + 5x + -119x + 17x2 + (-42x2 + 6x3)) = 0

Combine like terms: 5x + -119x = -114x
x(-35 + -114x + 17x2 + -42x2 + 6x3) = 0

Combine like terms: 17x2 + -42x2 = -25x2
x(-35 + -114x + -25x2 + 6x3) = 0
(-35 * x + -114x * x + -25x2 * x + 6x3 * x) = 0
(-35x + -114x2 + -25x3 + 6x4) = 0

Solving
-35x + -114x2 + -25x3 + 6x4 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(-35 + -114x + -25x2 + 6x3) = 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 + -114x + -25x2 + 6x3)' equal to zero and attempt to solve:

Simplifying
-35 + -114x + -25x2 + 6x3 = 0

Solving
-35 + -114x + -25x2 + 6x3 = 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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