5x(2x-9)(3x-5)(4x+19)(11x-2)(13x-15)=0

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Solution for 5x(2x-9)(3x-5)(4x+19)(11x-2)(13x-15)=0 equation: 


Simplifying
5x(2x + -9)(3x + -5)(4x + 19)(11x + -2)(13x + -15) = 0

Reorder the terms:
5x(-9 + 2x)(3x + -5)(4x + 19)(11x + -2)(13x + -15) = 0

Reorder the terms:
5x(-9 + 2x)(-5 + 3x)(4x + 19)(11x + -2)(13x + -15) = 0

Reorder the terms:
5x(-9 + 2x)(-5 + 3x)(19 + 4x)(11x + -2)(13x + -15) = 0

Reorder the terms:
5x(-9 + 2x)(-5 + 3x)(19 + 4x)(-2 + 11x)(13x + -15) = 0

Reorder the terms:
5x(-9 + 2x)(-5 + 3x)(19 + 4x)(-2 + 11x)(-15 + 13x) = 0

Multiply (-9 + 2x) * (-5 + 3x)
5x(-9(-5 + 3x) + 2x * (-5 + 3x))(19 + 4x)(-2 + 11x)(-15 + 13x) = 0
5x((-5 * -9 + 3x * -9) + 2x * (-5 + 3x))(19 + 4x)(-2 + 11x)(-15 + 13x) = 0
5x((45 + -27x) + 2x * (-5 + 3x))(19 + 4x)(-2 + 11x)(-15 + 13x) = 0
5x(45 + -27x + (-5 * 2x + 3x * 2x))(19 + 4x)(-2 + 11x)(-15 + 13x) = 0
5x(45 + -27x + (-10x + 6x2))(19 + 4x)(-2 + 11x)(-15 + 13x) = 0

Combine like terms: -27x + -10x = -37x
5x(45 + -37x + 6x2)(19 + 4x)(-2 + 11x)(-15 + 13x) = 0

Multiply (45 + -37x + 6x2) * (19 + 4x)
5x(45(19 + 4x) + -37x * (19 + 4x) + 6x2 * (19 + 4x))(-2 + 11x)(-15 + 13x) = 0
5x((19 * 45 + 4x * 45) + -37x * (19 + 4x) + 6x2 * (19 + 4x))(-2 + 11x)(-15 + 13x) = 0
5x((855 + 180x) + -37x * (19 + 4x) + 6x2 * (19 + 4x))(-2 + 11x)(-15 + 13x) = 0
5x(855 + 180x + (19 * -37x + 4x * -37x) + 6x2 * (19 + 4x))(-2 + 11x)(-15 + 13x) = 0
5x(855 + 180x + (-703x + -148x2) + 6x2 * (19 + 4x))(-2 + 11x)(-15 + 13x) = 0
5x(855 + 180x + -703x + -148x2 + (19 * 6x2 + 4x * 6x2))(-2 + 11x)(-15 + 13x) = 0
5x(855 + 180x + -703x + -148x2 + (114x2 + 24x3))(-2 + 11x)(-15 + 13x) = 0

Combine like terms: 180x + -703x = -523x
5x(855 + -523x + -148x2 + 114x2 + 24x3)(-2 + 11x)(-15 + 13x) = 0

Combine like terms: -148x2 + 114x2 = -34x2
5x(855 + -523x + -34x2 + 24x3)(-2 + 11x)(-15 + 13x) = 0

Multiply (855 + -523x + -34x2 + 24x3) * (-2 + 11x)
5x(855(-2 + 11x) + -523x * (-2 + 11x) + -34x2 * (-2 + 11x) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x((-2 * 855 + 11x * 855) + -523x * (-2 + 11x) + -34x2 * (-2 + 11x) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x((-1710 + 9405x) + -523x * (-2 + 11x) + -34x2 * (-2 + 11x) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x(-1710 + 9405x + (-2 * -523x + 11x * -523x) + -34x2 * (-2 + 11x) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x(-1710 + 9405x + (1046x + -5753x2) + -34x2 * (-2 + 11x) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x(-1710 + 9405x + 1046x + -5753x2 + (-2 * -34x2 + 11x * -34x2) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x(-1710 + 9405x + 1046x + -5753x2 + (68x2 + -374x3) + 24x3 * (-2 + 11x))(-15 + 13x) = 0
5x(-1710 + 9405x + 1046x + -5753x2 + 68x2 + -374x3 + (-2 * 24x3 + 11x * 24x3))(-15 + 13x) = 0
5x(-1710 + 9405x + 1046x + -5753x2 + 68x2 + -374x3 + (-48x3 + 264x4))(-15 + 13x) = 0

Combine like terms: 9405x + 1046x = 10451x
5x(-1710 + 10451x + -5753x2 + 68x2 + -374x3 + -48x3 + 264x4)(-15 + 13x) = 0

Combine like terms: -5753x2 + 68x2 = -5685x2
5x(-1710 + 10451x + -5685x2 + -374x3 + -48x3 + 264x4)(-15 + 13x) = 0

Combine like terms: -374x3 + -48x3 = -422x3
5x(-1710 + 10451x + -5685x2 + -422x3 + 264x4)(-15 + 13x) = 0

Multiply (-1710 + 10451x + -5685x2 + -422x3 + 264x4) * (-15 + 13x)
5x(-1710(-15 + 13x) + 10451x * (-15 + 13x) + -5685x2 * (-15 + 13x) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x((-15 * -1710 + 13x * -1710) + 10451x * (-15 + 13x) + -5685x2 * (-15 + 13x) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x((25650 + -22230x) + 10451x * (-15 + 13x) + -5685x2 * (-15 + 13x) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + (-15 * 10451x + 13x * 10451x) + -5685x2 * (-15 + 13x) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + (-156765x + 135863x2) + -5685x2 * (-15 + 13x) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + (-15 * -5685x2 + 13x * -5685x2) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + (85275x2 + -73905x3) + -422x3 * (-15 + 13x) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + 85275x2 + -73905x3 + (-15 * -422x3 + 13x * -422x3) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + 85275x2 + -73905x3 + (6330x3 + -5486x4) + 264x4 * (-15 + 13x)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + 85275x2 + -73905x3 + 6330x3 + -5486x4 + (-15 * 264x4 + 13x * 264x4)) = 0
5x(25650 + -22230x + -156765x + 135863x2 + 85275x2 + -73905x3 + 6330x3 + -5486x4 + (-3960x4 + 3432x5)) = 0

Combine like terms: -22230x + -156765x = -178995x
5x(25650 + -178995x + 135863x2 + 85275x2 + -73905x3 + 6330x3 + -5486x4 + -3960x4 + 3432x5) = 0

Combine like terms: 135863x2 + 85275x2 = 221138x2
5x(25650 + -178995x + 221138x2 + -73905x3 + 6330x3 + -5486x4 + -3960x4 + 3432x5) = 0

Combine like terms: -73905x3 + 6330x3 = -67575x3
5x(25650 + -178995x + 221138x2 + -67575x3 + -5486x4 + -3960x4 + 3432x5) = 0

Combine like terms: -5486x4 + -3960x4 = -9446x4
5x(25650 + -178995x + 221138x2 + -67575x3 + -9446x4 + 3432x5) = 0
(25650 * 5x + -178995x * 5x + 221138x2 * 5x + -67575x3 * 5x + -9446x4 * 5x + 3432x5 * 5x) = 0
(128250x + -894975x2 + 1105690x3 + -337875x4 + -47230x5 + 17160x6) = 0

Solving
128250x + -894975x2 + 1105690x3 + -337875x4 + -47230x5 + 17160x6 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '5x'.
5x(25650 + -178995x + 221138x2 + -67575x3 + -9446x4 + 3432x5) = 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 '(25650 + -178995x + 221138x2 + -67575x3 + -9446x4 + 3432x5)' equal to zero and attempt to solve:

Simplifying
25650 + -178995x + 221138x2 + -67575x3 + -9446x4 + 3432x5 = 0

Solving
25650 + -178995x + 221138x2 + -67575x3 + -9446x4 + 3432x5 = 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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