(2x-5)(x-4)(x+6)=0

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Solution for (2x-5)(x-4)(x+6)=0 equation:


Simplifying
(2x + -5)(x + -4)(x + 6) = 0

Reorder the terms:
(-5 + 2x)(x + -4)(x + 6) = 0

Reorder the terms:
(-5 + 2x)(-4 + x)(x + 6) = 0

Reorder the terms:
(-5 + 2x)(-4 + x)(6 + x) = 0

Multiply (-5 + 2x) * (-4 + x)
(-5(-4 + x) + 2x * (-4 + x))(6 + x) = 0
((-4 * -5 + x * -5) + 2x * (-4 + x))(6 + x) = 0
((20 + -5x) + 2x * (-4 + x))(6 + x) = 0
(20 + -5x + (-4 * 2x + x * 2x))(6 + x) = 0
(20 + -5x + (-8x + 2x2))(6 + x) = 0

Combine like terms: -5x + -8x = -13x
(20 + -13x + 2x2)(6 + x) = 0

Multiply (20 + -13x + 2x2) * (6 + x)
(20(6 + x) + -13x * (6 + x) + 2x2 * (6 + x)) = 0
((6 * 20 + x * 20) + -13x * (6 + x) + 2x2 * (6 + x)) = 0
((120 + 20x) + -13x * (6 + x) + 2x2 * (6 + x)) = 0
(120 + 20x + (6 * -13x + x * -13x) + 2x2 * (6 + x)) = 0
(120 + 20x + (-78x + -13x2) + 2x2 * (6 + x)) = 0
(120 + 20x + -78x + -13x2 + (6 * 2x2 + x * 2x2)) = 0
(120 + 20x + -78x + -13x2 + (12x2 + 2x3)) = 0

Combine like terms: 20x + -78x = -58x
(120 + -58x + -13x2 + 12x2 + 2x3) = 0

Combine like terms: -13x2 + 12x2 = -1x2
(120 + -58x + -1x2 + 2x3) = 0

Solving
120 + -58x + -1x2 + 2x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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