(5x-2)(11x-4)-3x^2(x-2)(4x+1)=0

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Solution for (5x-2)(11x-4)-3x^2(x-2)(4x+1)=0 equation: 


Simplifying
(5x + -2)(11x + -4) + -3x2(x + -2)(4x + 1) = 0

Reorder the terms:
(-2 + 5x)(11x + -4) + -3x2(x + -2)(4x + 1) = 0

Reorder the terms:
(-2 + 5x)(-4 + 11x) + -3x2(x + -2)(4x + 1) = 0

Multiply (-2 + 5x) * (-4 + 11x)
(-2(-4 + 11x) + 5x * (-4 + 11x)) + -3x2(x + -2)(4x + 1) = 0
((-4 * -2 + 11x * -2) + 5x * (-4 + 11x)) + -3x2(x + -2)(4x + 1) = 0
((8 + -22x) + 5x * (-4 + 11x)) + -3x2(x + -2)(4x + 1) = 0
(8 + -22x + (-4 * 5x + 11x * 5x)) + -3x2(x + -2)(4x + 1) = 0
(8 + -22x + (-20x + 55x2)) + -3x2(x + -2)(4x + 1) = 0

Combine like terms: -22x + -20x = -42x
(8 + -42x + 55x2) + -3x2(x + -2)(4x + 1) = 0

Reorder the terms:
8 + -42x + 55x2 + -3x2(-2 + x)(4x + 1) = 0

Reorder the terms:
8 + -42x + 55x2 + -3x2(-2 + x)(1 + 4x) = 0

Multiply (-2 + x) * (1 + 4x)
8 + -42x + 55x2 + -3x2(-2(1 + 4x) + x(1 + 4x)) = 0
8 + -42x + 55x2 + -3x2((1 * -2 + 4x * -2) + x(1 + 4x)) = 0
8 + -42x + 55x2 + -3x2((-2 + -8x) + x(1 + 4x)) = 0
8 + -42x + 55x2 + -3x2(-2 + -8x + (1 * x + 4x * x)) = 0
8 + -42x + 55x2 + -3x2(-2 + -8x + (1x + 4x2)) = 0

Combine like terms: -8x + 1x = -7x
8 + -42x + 55x2 + -3x2(-2 + -7x + 4x2) = 0
8 + -42x + 55x2 + (-2 * -3x2 + -7x * -3x2 + 4x2 * -3x2) = 0
8 + -42x + 55x2 + (6x2 + 21x3 + -12x4) = 0

Combine like terms: 55x2 + 6x2 = 61x2
8 + -42x + 61x2 + 21x3 + -12x4 = 0

Solving
8 + -42x + 61x2 + 21x3 + -12x4 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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