(x-6)(5x+3)(3x-4)=0

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Solution for (x-6)(5x+3)(3x-4)=0 equation:


Simplifying
(x + -6)(5x + 3)(3x + -4) = 0

Reorder the terms:
(-6 + x)(5x + 3)(3x + -4) = 0

Reorder the terms:
(-6 + x)(3 + 5x)(3x + -4) = 0

Reorder the terms:
(-6 + x)(3 + 5x)(-4 + 3x) = 0

Multiply (-6 + x) * (3 + 5x)
(-6(3 + 5x) + x(3 + 5x))(-4 + 3x) = 0
((3 * -6 + 5x * -6) + x(3 + 5x))(-4 + 3x) = 0
((-18 + -30x) + x(3 + 5x))(-4 + 3x) = 0
(-18 + -30x + (3 * x + 5x * x))(-4 + 3x) = 0
(-18 + -30x + (3x + 5x2))(-4 + 3x) = 0

Combine like terms: -30x + 3x = -27x
(-18 + -27x + 5x2)(-4 + 3x) = 0

Multiply (-18 + -27x + 5x2) * (-4 + 3x)
(-18(-4 + 3x) + -27x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0
((-4 * -18 + 3x * -18) + -27x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0
((72 + -54x) + -27x * (-4 + 3x) + 5x2 * (-4 + 3x)) = 0
(72 + -54x + (-4 * -27x + 3x * -27x) + 5x2 * (-4 + 3x)) = 0
(72 + -54x + (108x + -81x2) + 5x2 * (-4 + 3x)) = 0
(72 + -54x + 108x + -81x2 + (-4 * 5x2 + 3x * 5x2)) = 0
(72 + -54x + 108x + -81x2 + (-20x2 + 15x3)) = 0

Combine like terms: -54x + 108x = 54x
(72 + 54x + -81x2 + -20x2 + 15x3) = 0

Combine like terms: -81x2 + -20x2 = -101x2
(72 + 54x + -101x2 + 15x3) = 0

Solving
72 + 54x + -101x2 + 15x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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