(x-3)(x+4)(x-5)=0

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Solution for (x-3)(x+4)(x-5)=0 equation:


Simplifying
(x + -3)(x + 4)(x + -5) = 0

Reorder the terms:
(-3 + x)(x + 4)(x + -5) = 0

Reorder the terms:
(-3 + x)(4 + x)(x + -5) = 0

Reorder the terms:
(-3 + x)(4 + x)(-5 + x) = 0

Multiply (-3 + x) * (4 + x)
(-3(4 + x) + x(4 + x))(-5 + x) = 0
((4 * -3 + x * -3) + x(4 + x))(-5 + x) = 0
((-12 + -3x) + x(4 + x))(-5 + x) = 0
(-12 + -3x + (4 * x + x * x))(-5 + x) = 0
(-12 + -3x + (4x + x2))(-5 + x) = 0

Combine like terms: -3x + 4x = 1x
(-12 + 1x + x2)(-5 + x) = 0

Multiply (-12 + 1x + x2) * (-5 + x)
(-12(-5 + x) + 1x * (-5 + x) + x2(-5 + x)) = 0
((-5 * -12 + x * -12) + 1x * (-5 + x) + x2(-5 + x)) = 0
((60 + -12x) + 1x * (-5 + x) + x2(-5 + x)) = 0
(60 + -12x + (-5 * 1x + x * 1x) + x2(-5 + x)) = 0
(60 + -12x + (-5x + 1x2) + x2(-5 + x)) = 0
(60 + -12x + -5x + 1x2 + (-5 * x2 + x * x2)) = 0
(60 + -12x + -5x + 1x2 + (-5x2 + x3)) = 0

Combine like terms: -12x + -5x = -17x
(60 + -17x + 1x2 + -5x2 + x3) = 0

Combine like terms: 1x2 + -5x2 = -4x2
(60 + -17x + -4x2 + x3) = 0

Solving
60 + -17x + -4x2 + x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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