(3x^2+5x-20)(4x^2-3x+6)=0

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Solution for (3x^2+5x-20)(4x^2-3x+6)=0 equation: 


Simplifying
(3x2 + 5x + -20)(4x2 + -3x + 6) = 0

Reorder the terms:
(-20 + 5x + 3x2)(4x2 + -3x + 6) = 0

Reorder the terms:
(-20 + 5x + 3x2)(6 + -3x + 4x2) = 0

Multiply (-20 + 5x + 3x2) * (6 + -3x + 4x2)
(-20(6 + -3x + 4x2) + 5x * (6 + -3x + 4x2) + 3x2 * (6 + -3x + 4x2)) = 0
((6 * -20 + -3x * -20 + 4x2 * -20) + 5x * (6 + -3x + 4x2) + 3x2 * (6 + -3x + 4x2)) = 0
((-120 + 60x + -80x2) + 5x * (6 + -3x + 4x2) + 3x2 * (6 + -3x + 4x2)) = 0
(-120 + 60x + -80x2 + (6 * 5x + -3x * 5x + 4x2 * 5x) + 3x2 * (6 + -3x + 4x2)) = 0
(-120 + 60x + -80x2 + (30x + -15x2 + 20x3) + 3x2 * (6 + -3x + 4x2)) = 0
(-120 + 60x + -80x2 + 30x + -15x2 + 20x3 + (6 * 3x2 + -3x * 3x2 + 4x2 * 3x2)) = 0
(-120 + 60x + -80x2 + 30x + -15x2 + 20x3 + (18x2 + -9x3 + 12x4)) = 0

Reorder the terms:
(-120 + 60x + 30x + -80x2 + -15x2 + 18x2 + 20x3 + -9x3 + 12x4) = 0

Combine like terms: 60x + 30x = 90x
(-120 + 90x + -80x2 + -15x2 + 18x2 + 20x3 + -9x3 + 12x4) = 0

Combine like terms: -80x2 + -15x2 = -95x2
(-120 + 90x + -95x2 + 18x2 + 20x3 + -9x3 + 12x4) = 0

Combine like terms: -95x2 + 18x2 = -77x2
(-120 + 90x + -77x2 + 20x3 + -9x3 + 12x4) = 0

Combine like terms: 20x3 + -9x3 = 11x3
(-120 + 90x + -77x2 + 11x3 + 12x4) = 0

Solving
-120 + 90x + -77x2 + 11x3 + 12x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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