(2x+1)(x-4)(3x+5)=0

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Solution for (2x+1)(x-4)(3x+5)=0 equation:


Simplifying
(2x + 1)(x + -4)(3x + 5) = 0

Reorder the terms:
(1 + 2x)(x + -4)(3x + 5) = 0

Reorder the terms:
(1 + 2x)(-4 + x)(3x + 5) = 0

Reorder the terms:
(1 + 2x)(-4 + x)(5 + 3x) = 0

Multiply (1 + 2x) * (-4 + x)
(1(-4 + x) + 2x * (-4 + x))(5 + 3x) = 0
((-4 * 1 + x * 1) + 2x * (-4 + x))(5 + 3x) = 0
((-4 + 1x) + 2x * (-4 + x))(5 + 3x) = 0
(-4 + 1x + (-4 * 2x + x * 2x))(5 + 3x) = 0
(-4 + 1x + (-8x + 2x2))(5 + 3x) = 0

Combine like terms: 1x + -8x = -7x
(-4 + -7x + 2x2)(5 + 3x) = 0

Multiply (-4 + -7x + 2x2) * (5 + 3x)
(-4(5 + 3x) + -7x * (5 + 3x) + 2x2 * (5 + 3x)) = 0
((5 * -4 + 3x * -4) + -7x * (5 + 3x) + 2x2 * (5 + 3x)) = 0
((-20 + -12x) + -7x * (5 + 3x) + 2x2 * (5 + 3x)) = 0
(-20 + -12x + (5 * -7x + 3x * -7x) + 2x2 * (5 + 3x)) = 0
(-20 + -12x + (-35x + -21x2) + 2x2 * (5 + 3x)) = 0
(-20 + -12x + -35x + -21x2 + (5 * 2x2 + 3x * 2x2)) = 0
(-20 + -12x + -35x + -21x2 + (10x2 + 6x3)) = 0

Combine like terms: -12x + -35x = -47x
(-20 + -47x + -21x2 + 10x2 + 6x3) = 0

Combine like terms: -21x2 + 10x2 = -11x2
(-20 + -47x + -11x2 + 6x3) = 0

Solving
-20 + -47x + -11x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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