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

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


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

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

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

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

Multiply (-5 + x) * (8 + x)
(-5(8 + x) + x(8 + x))(-3 + x) = x
((8 * -5 + x * -5) + x(8 + x))(-3 + x) = x
((-40 + -5x) + x(8 + x))(-3 + x) = x
(-40 + -5x + (8 * x + x * x))(-3 + x) = x
(-40 + -5x + (8x + x2))(-3 + x) = x

Combine like terms: -5x + 8x = 3x
(-40 + 3x + x2)(-3 + x) = x

Multiply (-40 + 3x + x2) * (-3 + x)
(-40(-3 + x) + 3x * (-3 + x) + x2(-3 + x)) = x
((-3 * -40 + x * -40) + 3x * (-3 + x) + x2(-3 + x)) = x
((120 + -40x) + 3x * (-3 + x) + x2(-3 + x)) = x
(120 + -40x + (-3 * 3x + x * 3x) + x2(-3 + x)) = x
(120 + -40x + (-9x + 3x2) + x2(-3 + x)) = x
(120 + -40x + -9x + 3x2 + (-3 * x2 + x * x2)) = x
(120 + -40x + -9x + 3x2 + (-3x2 + x3)) = x

Combine like terms: -40x + -9x = -49x
(120 + -49x + 3x2 + -3x2 + x3) = x

Combine like terms: 3x2 + -3x2 = 0
(120 + -49x + 0 + x3) = x
(120 + -49x + x3) = x

Solving
120 + -49x + x3 = x

Solving for variable 'x'.

Reorder the terms:
120 + -49x + -1x + x3 = x + -1x

Combine like terms: -49x + -1x = -50x
120 + -50x + x3 = x + -1x

Combine like terms: x + -1x = 0
120 + -50x + x3 = 0

The solution to this equation could not be determined.

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