(3x+2)(4x^2-2x-7)=0

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Solution for (3x+2)(4x^2-2x-7)=0 equation: 


Simplifying
(3x + 2)(4x2 + -2x + -7) = 0

Reorder the terms:
(2 + 3x)(4x2 + -2x + -7) = 0

Reorder the terms:
(2 + 3x)(-7 + -2x + 4x2) = 0

Multiply (2 + 3x) * (-7 + -2x + 4x2)
(2(-7 + -2x + 4x2) + 3x * (-7 + -2x + 4x2)) = 0
((-7 * 2 + -2x * 2 + 4x2 * 2) + 3x * (-7 + -2x + 4x2)) = 0
((-14 + -4x + 8x2) + 3x * (-7 + -2x + 4x2)) = 0
(-14 + -4x + 8x2 + (-7 * 3x + -2x * 3x + 4x2 * 3x)) = 0
(-14 + -4x + 8x2 + (-21x + -6x2 + 12x3)) = 0

Reorder the terms:
(-14 + -4x + -21x + 8x2 + -6x2 + 12x3) = 0

Combine like terms: -4x + -21x = -25x
(-14 + -25x + 8x2 + -6x2 + 12x3) = 0

Combine like terms: 8x2 + -6x2 = 2x2
(-14 + -25x + 2x2 + 12x3) = 0

Solving
-14 + -25x + 2x2 + 12x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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