(3x-7)(x+8)(2x+5)=0

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Solution for (3x-7)(x+8)(2x+5)=0 equation: 


Simplifying
(3x + -7)(x + 8)(2x + 5) = 0

Reorder the terms:
(-7 + 3x)(x + 8)(2x + 5) = 0

Reorder the terms:
(-7 + 3x)(8 + x)(2x + 5) = 0

Reorder the terms:
(-7 + 3x)(8 + x)(5 + 2x) = 0

Multiply (-7 + 3x) * (8 + x)
(-7(8 + x) + 3x * (8 + x))(5 + 2x) = 0
((8 * -7 + x * -7) + 3x * (8 + x))(5 + 2x) = 0
((-56 + -7x) + 3x * (8 + x))(5 + 2x) = 0
(-56 + -7x + (8 * 3x + x * 3x))(5 + 2x) = 0
(-56 + -7x + (24x + 3x2))(5 + 2x) = 0

Combine like terms: -7x + 24x = 17x
(-56 + 17x + 3x2)(5 + 2x) = 0

Multiply (-56 + 17x + 3x2) * (5 + 2x)
(-56(5 + 2x) + 17x * (5 + 2x) + 3x2 * (5 + 2x)) = 0
((5 * -56 + 2x * -56) + 17x * (5 + 2x) + 3x2 * (5 + 2x)) = 0
((-280 + -112x) + 17x * (5 + 2x) + 3x2 * (5 + 2x)) = 0
(-280 + -112x + (5 * 17x + 2x * 17x) + 3x2 * (5 + 2x)) = 0
(-280 + -112x + (85x + 34x2) + 3x2 * (5 + 2x)) = 0
(-280 + -112x + 85x + 34x2 + (5 * 3x2 + 2x * 3x2)) = 0
(-280 + -112x + 85x + 34x2 + (15x2 + 6x3)) = 0

Combine like terms: -112x + 85x = -27x
(-280 + -27x + 34x2 + 15x2 + 6x3) = 0

Combine like terms: 34x2 + 15x2 = 49x2
(-280 + -27x + 49x2 + 6x3) = 0

Solving
-280 + -27x + 49x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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