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

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


Simplifying
(4x2 + -3x + 1)(2x2 + -3x + -2) = 0

Reorder the terms:
(1 + -3x + 4x2)(2x2 + -3x + -2) = 0

Reorder the terms:
(1 + -3x + 4x2)(-2 + -3x + 2x2) = 0

Multiply (1 + -3x + 4x2) * (-2 + -3x + 2x2)
(1(-2 + -3x + 2x2) + -3x * (-2 + -3x + 2x2) + 4x2 * (-2 + -3x + 2x2)) = 0
((-2 * 1 + -3x * 1 + 2x2 * 1) + -3x * (-2 + -3x + 2x2) + 4x2 * (-2 + -3x + 2x2)) = 0
((-2 + -3x + 2x2) + -3x * (-2 + -3x + 2x2) + 4x2 * (-2 + -3x + 2x2)) = 0
(-2 + -3x + 2x2 + (-2 * -3x + -3x * -3x + 2x2 * -3x) + 4x2 * (-2 + -3x + 2x2)) = 0
(-2 + -3x + 2x2 + (6x + 9x2 + -6x3) + 4x2 * (-2 + -3x + 2x2)) = 0
(-2 + -3x + 2x2 + 6x + 9x2 + -6x3 + (-2 * 4x2 + -3x * 4x2 + 2x2 * 4x2)) = 0
(-2 + -3x + 2x2 + 6x + 9x2 + -6x3 + (-8x2 + -12x3 + 8x4)) = 0

Reorder the terms:
(-2 + -3x + 6x + 2x2 + 9x2 + -8x2 + -6x3 + -12x3 + 8x4) = 0

Combine like terms: -3x + 6x = 3x
(-2 + 3x + 2x2 + 9x2 + -8x2 + -6x3 + -12x3 + 8x4) = 0

Combine like terms: 2x2 + 9x2 = 11x2
(-2 + 3x + 11x2 + -8x2 + -6x3 + -12x3 + 8x4) = 0

Combine like terms: 11x2 + -8x2 = 3x2
(-2 + 3x + 3x2 + -6x3 + -12x3 + 8x4) = 0

Combine like terms: -6x3 + -12x3 = -18x3
(-2 + 3x + 3x2 + -18x3 + 8x4) = 0

Solving
-2 + 3x + 3x2 + -18x3 + 8x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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