(x^2-1)x(x^2+2x-19)=0

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Solution for (x^2-1)x(x^2+2x-19)=0 equation:


Simplifying
(x2 + -1) * x(x2 + 2x + -19) = 0

Reorder the terms:
(-1 + x2) * x(x2 + 2x + -19) = 0

Reorder the terms:
(-1 + x2) * x(-19 + 2x + x2) = 0

Reorder the terms for easier multiplication:
x(-1 + x2)(-19 + 2x + x2) = 0

Multiply (-1 + x2) * (-19 + 2x + x2)
x(-1(-19 + 2x + x2) + x2(-19 + 2x + x2)) = 0
x((-19 * -1 + 2x * -1 + x2 * -1) + x2(-19 + 2x + x2)) = 0
x((19 + -2x + -1x2) + x2(-19 + 2x + x2)) = 0
x(19 + -2x + -1x2 + (-19 * x2 + 2x * x2 + x2 * x2)) = 0
x(19 + -2x + -1x2 + (-19x2 + 2x3 + x4)) = 0

Combine like terms: -1x2 + -19x2 = -20x2
x(19 + -2x + -20x2 + 2x3 + x4) = 0
(19 * x + -2x * x + -20x2 * x + 2x3 * x + x4 * x) = 0
(19x + -2x2 + -20x3 + 2x4 + x5) = 0

Solving
19x + -2x2 + -20x3 + 2x4 + x5 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), 'x'.
x(19 + -2x + -20x2 + 2x3 + x4) = 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 '(19 + -2x + -20x2 + 2x3 + x4)' equal to zero and attempt to solve: Simplifying 19 + -2x + -20x2 + 2x3 + x4 = 0 Solving 19 + -2x + -20x2 + 2x3 + x4 = 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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