(x-3)(x+8)x(x-5)=360

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Solution for (x-3)(x+8)x(x-5)=360 equation: 


Simplifying
(x + -3)(x + 8) * x(x + -5) = 360

Reorder the terms:
(-3 + x)(x + 8) * x(x + -5) = 360

Reorder the terms:
(-3 + x)(8 + x) * x(x + -5) = 360

Reorder the terms:
(-3 + x)(8 + x) * x(-5 + x) = 360

Reorder the terms for easier multiplication:
x(-3 + x)(8 + x)(-5 + x) = 360

Multiply (-3 + x) * (8 + x)
x(-3(8 + x) + x(8 + x))(-5 + x) = 360
x((8 * -3 + x * -3) + x(8 + x))(-5 + x) = 360
x((-24 + -3x) + x(8 + x))(-5 + x) = 360
x(-24 + -3x + (8 * x + x * x))(-5 + x) = 360
x(-24 + -3x + (8x + x2))(-5 + x) = 360

Combine like terms: -3x + 8x = 5x
x(-24 + 5x + x2)(-5 + x) = 360

Multiply (-24 + 5x + x2) * (-5 + x)
x(-24(-5 + x) + 5x * (-5 + x) + x2(-5 + x)) = 360
x((-5 * -24 + x * -24) + 5x * (-5 + x) + x2(-5 + x)) = 360
x((120 + -24x) + 5x * (-5 + x) + x2(-5 + x)) = 360
x(120 + -24x + (-5 * 5x + x * 5x) + x2(-5 + x)) = 360
x(120 + -24x + (-25x + 5x2) + x2(-5 + x)) = 360
x(120 + -24x + -25x + 5x2 + (-5 * x2 + x * x2)) = 360
x(120 + -24x + -25x + 5x2 + (-5x2 + x3)) = 360

Combine like terms: -24x + -25x = -49x
x(120 + -49x + 5x2 + -5x2 + x3) = 360

Combine like terms: 5x2 + -5x2 = 0
x(120 + -49x + 0 + x3) = 360
x(120 + -49x + x3) = 360
(120 * x + -49x * x + x3 * x) = 360
(120x + -49x2 + x4) = 360

Solving
120x + -49x2 + x4 = 360

Solving for variable 'x'.

Reorder the terms:
-360 + 120x + -49x2 + x4 = 360 + -360

Combine like terms: 360 + -360 = 0
-360 + 120x + -49x2 + x4 = 0

The solution to this equation could not be determined.

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