(3x+2)(5x^2-16x+12)=0

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Solution for (3x+2)(5x^2-16x+12)=0 equation:


Simplifying
(3x + 2)(5x2 + -16x + 12) = 0

Reorder the terms:
(2 + 3x)(5x2 + -16x + 12) = 0

Reorder the terms:
(2 + 3x)(12 + -16x + 5x2) = 0

Multiply (2 + 3x) * (12 + -16x + 5x2)
(2(12 + -16x + 5x2) + 3x * (12 + -16x + 5x2)) = 0
((12 * 2 + -16x * 2 + 5x2 * 2) + 3x * (12 + -16x + 5x2)) = 0
((24 + -32x + 10x2) + 3x * (12 + -16x + 5x2)) = 0
(24 + -32x + 10x2 + (12 * 3x + -16x * 3x + 5x2 * 3x)) = 0
(24 + -32x + 10x2 + (36x + -48x2 + 15x3)) = 0

Reorder the terms:
(24 + -32x + 36x + 10x2 + -48x2 + 15x3) = 0

Combine like terms: -32x + 36x = 4x
(24 + 4x + 10x2 + -48x2 + 15x3) = 0

Combine like terms: 10x2 + -48x2 = -38x2
(24 + 4x + -38x2 + 15x3) = 0

Solving
24 + 4x + -38x2 + 15x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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