(5x+3)(x+2)(x-4)=0

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Solution for (5x+3)(x+2)(x-4)=0 equation:


Simplifying
(5x + 3)(x + 2)(x + -4) = 0

Reorder the terms:
(3 + 5x)(x + 2)(x + -4) = 0

Reorder the terms:
(3 + 5x)(2 + x)(x + -4) = 0

Reorder the terms:
(3 + 5x)(2 + x)(-4 + x) = 0

Multiply (3 + 5x) * (2 + x)
(3(2 + x) + 5x * (2 + x))(-4 + x) = 0
((2 * 3 + x * 3) + 5x * (2 + x))(-4 + x) = 0
((6 + 3x) + 5x * (2 + x))(-4 + x) = 0
(6 + 3x + (2 * 5x + x * 5x))(-4 + x) = 0
(6 + 3x + (10x + 5x2))(-4 + x) = 0

Combine like terms: 3x + 10x = 13x
(6 + 13x + 5x2)(-4 + x) = 0

Multiply (6 + 13x + 5x2) * (-4 + x)
(6(-4 + x) + 13x * (-4 + x) + 5x2 * (-4 + x)) = 0
((-4 * 6 + x * 6) + 13x * (-4 + x) + 5x2 * (-4 + x)) = 0
((-24 + 6x) + 13x * (-4 + x) + 5x2 * (-4 + x)) = 0
(-24 + 6x + (-4 * 13x + x * 13x) + 5x2 * (-4 + x)) = 0
(-24 + 6x + (-52x + 13x2) + 5x2 * (-4 + x)) = 0
(-24 + 6x + -52x + 13x2 + (-4 * 5x2 + x * 5x2)) = 0
(-24 + 6x + -52x + 13x2 + (-20x2 + 5x3)) = 0

Combine like terms: 6x + -52x = -46x
(-24 + -46x + 13x2 + -20x2 + 5x3) = 0

Combine like terms: 13x2 + -20x2 = -7x2
(-24 + -46x + -7x2 + 5x3) = 0

Solving
-24 + -46x + -7x2 + 5x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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