P(x)=(x^2-10x+25)(x^2+4x-45)(x+9)

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Solution for P(x)=(x^2-10x+25)(x^2+4x-45)(x+9) equation: 


Simplifying
P(x) = (x2 + -10x + 25)(x2 + 4x + -45)(x + 9)

Multiply P * x
xP = (x2 + -10x + 25)(x2 + 4x + -45)(x + 9)

Reorder the terms:
xP = (25 + -10x + x2)(x2 + 4x + -45)(x + 9)

Reorder the terms:
xP = (25 + -10x + x2)(-45 + 4x + x2)(x + 9)

Reorder the terms:
xP = (25 + -10x + x2)(-45 + 4x + x2)(9 + x)

Multiply (25 + -10x + x2) * (-45 + 4x + x2)
xP = (25(-45 + 4x + x2) + -10x * (-45 + 4x + x2) + x2(-45 + 4x + x2))(9 + x)
xP = ((-45 * 25 + 4x * 25 + x2 * 25) + -10x * (-45 + 4x + x2) + x2(-45 + 4x + x2))(9 + x)
xP = ((-1125 + 100x + 25x2) + -10x * (-45 + 4x + x2) + x2(-45 + 4x + x2))(9 + x)
xP = (-1125 + 100x + 25x2 + (-45 * -10x + 4x * -10x + x2 * -10x) + x2(-45 + 4x + x2))(9 + x)
xP = (-1125 + 100x + 25x2 + (450x + -40x2 + -10x3) + x2(-45 + 4x + x2))(9 + x)
xP = (-1125 + 100x + 25x2 + 450x + -40x2 + -10x3 + (-45 * x2 + 4x * x2 + x2 * x2))(9 + x)
xP = (-1125 + 100x + 25x2 + 450x + -40x2 + -10x3 + (-45x2 + 4x3 + x4))(9 + x)

Reorder the terms:
xP = (-1125 + 100x + 450x + 25x2 + -40x2 + -45x2 + -10x3 + 4x3 + x4)(9 + x)

Combine like terms: 100x + 450x = 550x
xP = (-1125 + 550x + 25x2 + -40x2 + -45x2 + -10x3 + 4x3 + x4)(9 + x)

Combine like terms: 25x2 + -40x2 = -15x2
xP = (-1125 + 550x + -15x2 + -45x2 + -10x3 + 4x3 + x4)(9 + x)

Combine like terms: -15x2 + -45x2 = -60x2
xP = (-1125 + 550x + -60x2 + -10x3 + 4x3 + x4)(9 + x)

Combine like terms: -10x3 + 4x3 = -6x3
xP = (-1125 + 550x + -60x2 + -6x3 + x4)(9 + x)

Multiply (-1125 + 550x + -60x2 + -6x3 + x4) * (9 + x)
xP = (-1125(9 + x) + 550x * (9 + x) + -60x2 * (9 + x) + -6x3 * (9 + x) + x4(9 + x))
xP = ((9 * -1125 + x * -1125) + 550x * (9 + x) + -60x2 * (9 + x) + -6x3 * (9 + x) + x4(9 + x))
xP = ((-10125 + -1125x) + 550x * (9 + x) + -60x2 * (9 + x) + -6x3 * (9 + x) + x4(9 + x))
xP = (-10125 + -1125x + (9 * 550x + x * 550x) + -60x2 * (9 + x) + -6x3 * (9 + x) + x4(9 + x))
xP = (-10125 + -1125x + (4950x + 550x2) + -60x2 * (9 + x) + -6x3 * (9 + x) + x4(9 + x))
xP = (-10125 + -1125x + 4950x + 550x2 + (9 * -60x2 + x * -60x2) + -6x3 * (9 + x) + x4(9 + x))
xP = (-10125 + -1125x + 4950x + 550x2 + (-540x2 + -60x3) + -6x3 * (9 + x) + x4(9 + x))
xP = (-10125 + -1125x + 4950x + 550x2 + -540x2 + -60x3 + (9 * -6x3 + x * -6x3) + x4(9 + x))
xP = (-10125 + -1125x + 4950x + 550x2 + -540x2 + -60x3 + (-54x3 + -6x4) + x4(9 + x))
xP = (-10125 + -1125x + 4950x + 550x2 + -540x2 + -60x3 + -54x3 + -6x4 + (9 * x4 + x * x4))
xP = (-10125 + -1125x + 4950x + 550x2 + -540x2 + -60x3 + -54x3 + -6x4 + (9x4 + x5))

Combine like terms: -1125x + 4950x = 3825x
xP = (-10125 + 3825x + 550x2 + -540x2 + -60x3 + -54x3 + -6x4 + 9x4 + x5)

Combine like terms: 550x2 + -540x2 = 10x2
xP = (-10125 + 3825x + 10x2 + -60x3 + -54x3 + -6x4 + 9x4 + x5)

Combine like terms: -60x3 + -54x3 = -114x3
xP = (-10125 + 3825x + 10x2 + -114x3 + -6x4 + 9x4 + x5)

Combine like terms: -6x4 + 9x4 = 3x4
xP = (-10125 + 3825x + 10x2 + -114x3 + 3x4 + x5)

Solving
xP = -10125 + 3825x + 10x2 + -114x3 + 3x4 + x5

Solving for variable 'x'.

Reorder the terms:
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = -10125 + 3825x + 10x2 + -114x3 + 3x4 + x5 + 10125 + -3825x + -10x2 + 114x3 + -3x4 + -1x5

Reorder the terms:
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = -10125 + 10125 + 3825x + -3825x + 10x2 + -10x2 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5

Combine like terms: -10125 + 10125 = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0 + 3825x + -3825x + 10x2 + -10x2 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 3825x + -3825x + 10x2 + -10x2 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5

Combine like terms: 3825x + -3825x = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0 + 10x2 + -10x2 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 10x2 + -10x2 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5

Combine like terms: 10x2 + -10x2 = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0 + -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = -114x3 + 114x3 + 3x4 + -3x4 + x5 + -1x5

Combine like terms: -114x3 + 114x3 = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0 + 3x4 + -3x4 + x5 + -1x5
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 3x4 + -3x4 + x5 + -1x5

Combine like terms: 3x4 + -3x4 = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0 + x5 + -1x5
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = x5 + -1x5

Combine like terms: x5 + -1x5 = 0
10125 + -3825x + xP + -10x2 + 114x3 + -3x4 + -1x5 = 0

The solution to this equation could not be determined.

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