F(x)=-3(x+5)(x+5)(x+5)(x-3)

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Solution for F(x)=-3(x+5)(x+5)(x+5)(x-3) equation: 


Simplifying
F(x) = -3(x + 5)(x + 5)(x + 5)(x + -3)

Multiply F * x
xF = -3(x + 5)(x + 5)(x + 5)(x + -3)

Reorder the terms:
xF = -3(5 + x)(x + 5)(x + 5)(x + -3)

Reorder the terms:
xF = -3(5 + x)(5 + x)(x + 5)(x + -3)

Reorder the terms:
xF = -3(5 + x)(5 + x)(5 + x)(x + -3)

Reorder the terms:
xF = -3(5 + x)(5 + x)(5 + x)(-3 + x)

Multiply (5 + x) * (5 + x)
xF = -3(5(5 + x) + x(5 + x))(5 + x)(-3 + x)
xF = -3((5 * 5 + x * 5) + x(5 + x))(5 + x)(-3 + x)
xF = -3((25 + 5x) + x(5 + x))(5 + x)(-3 + x)
xF = -3(25 + 5x + (5 * x + x * x))(5 + x)(-3 + x)
xF = -3(25 + 5x + (5x + x2))(5 + x)(-3 + x)

Combine like terms: 5x + 5x = 10x
xF = -3(25 + 10x + x2)(5 + x)(-3 + x)

Multiply (25 + 10x + x2) * (5 + x)
xF = -3(25(5 + x) + 10x * (5 + x) + x2(5 + x))(-3 + x)
xF = -3((5 * 25 + x * 25) + 10x * (5 + x) + x2(5 + x))(-3 + x)
xF = -3((125 + 25x) + 10x * (5 + x) + x2(5 + x))(-3 + x)
xF = -3(125 + 25x + (5 * 10x + x * 10x) + x2(5 + x))(-3 + x)
xF = -3(125 + 25x + (50x + 10x2) + x2(5 + x))(-3 + x)
xF = -3(125 + 25x + 50x + 10x2 + (5 * x2 + x * x2))(-3 + x)
xF = -3(125 + 25x + 50x + 10x2 + (5x2 + x3))(-3 + x)

Combine like terms: 25x + 50x = 75x
xF = -3(125 + 75x + 10x2 + 5x2 + x3)(-3 + x)

Combine like terms: 10x2 + 5x2 = 15x2
xF = -3(125 + 75x + 15x2 + x3)(-3 + x)

Multiply (125 + 75x + 15x2 + x3) * (-3 + x)
xF = -3(125(-3 + x) + 75x * (-3 + x) + 15x2 * (-3 + x) + x3(-3 + x))
xF = -3((-3 * 125 + x * 125) + 75x * (-3 + x) + 15x2 * (-3 + x) + x3(-3 + x))
xF = -3((-375 + 125x) + 75x * (-3 + x) + 15x2 * (-3 + x) + x3(-3 + x))
xF = -3(-375 + 125x + (-3 * 75x + x * 75x) + 15x2 * (-3 + x) + x3(-3 + x))
xF = -3(-375 + 125x + (-225x + 75x2) + 15x2 * (-3 + x) + x3(-3 + x))
xF = -3(-375 + 125x + -225x + 75x2 + (-3 * 15x2 + x * 15x2) + x3(-3 + x))
xF = -3(-375 + 125x + -225x + 75x2 + (-45x2 + 15x3) + x3(-3 + x))
xF = -3(-375 + 125x + -225x + 75x2 + -45x2 + 15x3 + (-3 * x3 + x * x3))
xF = -3(-375 + 125x + -225x + 75x2 + -45x2 + 15x3 + (-3x3 + x4))

Combine like terms: 125x + -225x = -100x
xF = -3(-375 + -100x + 75x2 + -45x2 + 15x3 + -3x3 + x4)

Combine like terms: 75x2 + -45x2 = 30x2
xF = -3(-375 + -100x + 30x2 + 15x3 + -3x3 + x4)

Combine like terms: 15x3 + -3x3 = 12x3
xF = -3(-375 + -100x + 30x2 + 12x3 + x4)
xF = (-375 * -3 + -100x * -3 + 30x2 * -3 + 12x3 * -3 + x4 * -3)
xF = (1125 + 300x + -90x2 + -36x3 + -3x4)

Solving
xF = 1125 + 300x + -90x2 + -36x3 + -3x4

Solving for variable 'x'.

Reorder the terms:
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 1125 + 300x + -90x2 + -36x3 + -3x4 + -1125 + -300x + 90x2 + 36x3 + 3x4

Reorder the terms:
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 1125 + -1125 + 300x + -300x + -90x2 + 90x2 + -36x3 + 36x3 + -3x4 + 3x4

Combine like terms: 1125 + -1125 = 0
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 0 + 300x + -300x + -90x2 + 90x2 + -36x3 + 36x3 + -3x4 + 3x4
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 300x + -300x + -90x2 + 90x2 + -36x3 + 36x3 + -3x4 + 3x4

Combine like terms: 300x + -300x = 0
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 0 + -90x2 + 90x2 + -36x3 + 36x3 + -3x4 + 3x4
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = -90x2 + 90x2 + -36x3 + 36x3 + -3x4 + 3x4

Combine like terms: -90x2 + 90x2 = 0
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 0 + -36x3 + 36x3 + -3x4 + 3x4
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = -36x3 + 36x3 + -3x4 + 3x4

Combine like terms: -36x3 + 36x3 = 0
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 0 + -3x4 + 3x4
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = -3x4 + 3x4

Combine like terms: -3x4 + 3x4 = 0
-1125 + -300x + xF + 90x2 + 36x3 + 3x4 = 0

The solution to this equation could not be determined.

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