0=(x^2+9)*(x-5)(x+3)

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Solution for 0=(x^2+9)*(x-5)(x+3) equation: 


Simplifying
0 = (x2 + 9)(x + -5)(x + 3)

Reorder the terms:
0 = (9 + x2)(x + -5)(x + 3)

Reorder the terms:
0 = (9 + x2)(-5 + x)(x + 3)

Reorder the terms:
0 = (9 + x2)(-5 + x)(3 + x)

Multiply (9 + x2) * (-5 + x)
0 = (9(-5 + x) + x2(-5 + x))(3 + x)
0 = ((-5 * 9 + x * 9) + x2(-5 + x))(3 + x)
0 = ((-45 + 9x) + x2(-5 + x))(3 + x)
0 = (-45 + 9x + (-5 * x2 + x * x2))(3 + x)
0 = (-45 + 9x + (-5x2 + x3))(3 + x)
0 = (-45 + 9x + -5x2 + x3)(3 + x)

Multiply (-45 + 9x + -5x2 + x3) * (3 + x)
0 = (-45(3 + x) + 9x * (3 + x) + -5x2 * (3 + x) + x3(3 + x))
0 = ((3 * -45 + x * -45) + 9x * (3 + x) + -5x2 * (3 + x) + x3(3 + x))
0 = ((-135 + -45x) + 9x * (3 + x) + -5x2 * (3 + x) + x3(3 + x))
0 = (-135 + -45x + (3 * 9x + x * 9x) + -5x2 * (3 + x) + x3(3 + x))
0 = (-135 + -45x + (27x + 9x2) + -5x2 * (3 + x) + x3(3 + x))
0 = (-135 + -45x + 27x + 9x2 + (3 * -5x2 + x * -5x2) + x3(3 + x))
0 = (-135 + -45x + 27x + 9x2 + (-15x2 + -5x3) + x3(3 + x))
0 = (-135 + -45x + 27x + 9x2 + -15x2 + -5x3 + (3 * x3 + x * x3))
0 = (-135 + -45x + 27x + 9x2 + -15x2 + -5x3 + (3x3 + x4))

Combine like terms: -45x + 27x = -18x
0 = (-135 + -18x + 9x2 + -15x2 + -5x3 + 3x3 + x4)

Combine like terms: 9x2 + -15x2 = -6x2
0 = (-135 + -18x + -6x2 + -5x3 + 3x3 + x4)

Combine like terms: -5x3 + 3x3 = -2x3
0 = (-135 + -18x + -6x2 + -2x3 + x4)

Solving
0 = -135 + -18x + -6x2 + -2x3 + x4

Solving for variable 'x'.

Combine like terms: 0 + 135 = 135
135 + 18x + 6x2 + 2x3 + -1x4 = -135 + -18x + -6x2 + -2x3 + x4 + 135 + 18x + 6x2 + 2x3 + -1x4

Reorder the terms:
135 + 18x + 6x2 + 2x3 + -1x4 = -135 + 135 + -18x + 18x + -6x2 + 6x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: -135 + 135 = 0
135 + 18x + 6x2 + 2x3 + -1x4 = 0 + -18x + 18x + -6x2 + 6x2 + -2x3 + 2x3 + x4 + -1x4
135 + 18x + 6x2 + 2x3 + -1x4 = -18x + 18x + -6x2 + 6x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: -18x + 18x = 0
135 + 18x + 6x2 + 2x3 + -1x4 = 0 + -6x2 + 6x2 + -2x3 + 2x3 + x4 + -1x4
135 + 18x + 6x2 + 2x3 + -1x4 = -6x2 + 6x2 + -2x3 + 2x3 + x4 + -1x4

Combine like terms: -6x2 + 6x2 = 0
135 + 18x + 6x2 + 2x3 + -1x4 = 0 + -2x3 + 2x3 + x4 + -1x4
135 + 18x + 6x2 + 2x3 + -1x4 = -2x3 + 2x3 + x4 + -1x4

Combine like terms: -2x3 + 2x3 = 0
135 + 18x + 6x2 + 2x3 + -1x4 = 0 + x4 + -1x4
135 + 18x + 6x2 + 2x3 + -1x4 = x4 + -1x4

Combine like terms: x4 + -1x4 = 0
135 + 18x + 6x2 + 2x3 + -1x4 = 0

The solution to this equation could not be determined.

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