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

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


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

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

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

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

Multiply (5 + 2x) * (-2 + x)
(5(-2 + x) + 2x * (-2 + x))(1 + 3x) = 0
((-2 * 5 + x * 5) + 2x * (-2 + x))(1 + 3x) = 0
((-10 + 5x) + 2x * (-2 + x))(1 + 3x) = 0
(-10 + 5x + (-2 * 2x + x * 2x))(1 + 3x) = 0
(-10 + 5x + (-4x + 2x2))(1 + 3x) = 0

Combine like terms: 5x + -4x = 1x
(-10 + 1x + 2x2)(1 + 3x) = 0

Multiply (-10 + 1x + 2x2) * (1 + 3x)
(-10(1 + 3x) + 1x * (1 + 3x) + 2x2 * (1 + 3x)) = 0
((1 * -10 + 3x * -10) + 1x * (1 + 3x) + 2x2 * (1 + 3x)) = 0
((-10 + -30x) + 1x * (1 + 3x) + 2x2 * (1 + 3x)) = 0
(-10 + -30x + (1 * 1x + 3x * 1x) + 2x2 * (1 + 3x)) = 0
(-10 + -30x + (1x + 3x2) + 2x2 * (1 + 3x)) = 0
(-10 + -30x + 1x + 3x2 + (1 * 2x2 + 3x * 2x2)) = 0
(-10 + -30x + 1x + 3x2 + (2x2 + 6x3)) = 0

Combine like terms: -30x + 1x = -29x
(-10 + -29x + 3x2 + 2x2 + 6x3) = 0

Combine like terms: 3x2 + 2x2 = 5x2
(-10 + -29x + 5x2 + 6x3) = 0

Solving
-10 + -29x + 5x2 + 6x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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