(-3x^2+2x+6)(x^2-x-4)=0

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Solution for (-3x^2+2x+6)(x^2-x-4)=0 equation:


Simplifying
(-3x2 + 2x + 6)(x2 + -1x + -4) = 0

Reorder the terms:
(6 + 2x + -3x2)(x2 + -1x + -4) = 0

Reorder the terms:
(6 + 2x + -3x2)(-4 + -1x + x2) = 0

Multiply (6 + 2x + -3x2) * (-4 + -1x + x2)
(6(-4 + -1x + x2) + 2x * (-4 + -1x + x2) + -3x2 * (-4 + -1x + x2)) = 0
((-4 * 6 + -1x * 6 + x2 * 6) + 2x * (-4 + -1x + x2) + -3x2 * (-4 + -1x + x2)) = 0
((-24 + -6x + 6x2) + 2x * (-4 + -1x + x2) + -3x2 * (-4 + -1x + x2)) = 0
(-24 + -6x + 6x2 + (-4 * 2x + -1x * 2x + x2 * 2x) + -3x2 * (-4 + -1x + x2)) = 0
(-24 + -6x + 6x2 + (-8x + -2x2 + 2x3) + -3x2 * (-4 + -1x + x2)) = 0
(-24 + -6x + 6x2 + -8x + -2x2 + 2x3 + (-4 * -3x2 + -1x * -3x2 + x2 * -3x2)) = 0
(-24 + -6x + 6x2 + -8x + -2x2 + 2x3 + (12x2 + 3x3 + -3x4)) = 0

Reorder the terms:
(-24 + -6x + -8x + 6x2 + -2x2 + 12x2 + 2x3 + 3x3 + -3x4) = 0

Combine like terms: -6x + -8x = -14x
(-24 + -14x + 6x2 + -2x2 + 12x2 + 2x3 + 3x3 + -3x4) = 0

Combine like terms: 6x2 + -2x2 = 4x2
(-24 + -14x + 4x2 + 12x2 + 2x3 + 3x3 + -3x4) = 0

Combine like terms: 4x2 + 12x2 = 16x2
(-24 + -14x + 16x2 + 2x3 + 3x3 + -3x4) = 0

Combine like terms: 2x3 + 3x3 = 5x3
(-24 + -14x + 16x2 + 5x3 + -3x4) = 0

Solving
-24 + -14x + 16x2 + 5x3 + -3x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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