(x+6)(x+5)(4x-3)(x^2-3x)=48

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Solution for (x+6)(x+5)(4x-3)(x^2-3x)=48 equation: 


Simplifying
(x + 6)(x + 5)(4x + -3)(x2 + -3x) = 48

Reorder the terms:
(6 + x)(x + 5)(4x + -3)(x2 + -3x) = 48

Reorder the terms:
(6 + x)(5 + x)(4x + -3)(x2 + -3x) = 48

Reorder the terms:
(6 + x)(5 + x)(-3 + 4x)(x2 + -3x) = 48

Reorder the terms:
(6 + x)(5 + x)(-3 + 4x)(-3x + x2) = 48

Multiply (6 + x) * (5 + x)
(6(5 + x) + x(5 + x))(-3 + 4x)(-3x + x2) = 48
((5 * 6 + x * 6) + x(5 + x))(-3 + 4x)(-3x + x2) = 48
((30 + 6x) + x(5 + x))(-3 + 4x)(-3x + x2) = 48
(30 + 6x + (5 * x + x * x))(-3 + 4x)(-3x + x2) = 48
(30 + 6x + (5x + x2))(-3 + 4x)(-3x + x2) = 48

Combine like terms: 6x + 5x = 11x
(30 + 11x + x2)(-3 + 4x)(-3x + x2) = 48

Multiply (30 + 11x + x2) * (-3 + 4x)
(30(-3 + 4x) + 11x * (-3 + 4x) + x2(-3 + 4x))(-3x + x2) = 48
((-3 * 30 + 4x * 30) + 11x * (-3 + 4x) + x2(-3 + 4x))(-3x + x2) = 48
((-90 + 120x) + 11x * (-3 + 4x) + x2(-3 + 4x))(-3x + x2) = 48
(-90 + 120x + (-3 * 11x + 4x * 11x) + x2(-3 + 4x))(-3x + x2) = 48
(-90 + 120x + (-33x + 44x2) + x2(-3 + 4x))(-3x + x2) = 48
(-90 + 120x + -33x + 44x2 + (-3 * x2 + 4x * x2))(-3x + x2) = 48
(-90 + 120x + -33x + 44x2 + (-3x2 + 4x3))(-3x + x2) = 48

Combine like terms: 120x + -33x = 87x
(-90 + 87x + 44x2 + -3x2 + 4x3)(-3x + x2) = 48

Combine like terms: 44x2 + -3x2 = 41x2
(-90 + 87x + 41x2 + 4x3)(-3x + x2) = 48

Multiply (-90 + 87x + 41x2 + 4x3) * (-3x + x2)
(-90(-3x + x2) + 87x * (-3x + x2) + 41x2 * (-3x + x2) + 4x3 * (-3x + x2)) = 48
((-3x * -90 + x2 * -90) + 87x * (-3x + x2) + 41x2 * (-3x + x2) + 4x3 * (-3x + x2)) = 48
((270x + -90x2) + 87x * (-3x + x2) + 41x2 * (-3x + x2) + 4x3 * (-3x + x2)) = 48
(270x + -90x2 + (-3x * 87x + x2 * 87x) + 41x2 * (-3x + x2) + 4x3 * (-3x + x2)) = 48
(270x + -90x2 + (-261x2 + 87x3) + 41x2 * (-3x + x2) + 4x3 * (-3x + x2)) = 48
(270x + -90x2 + -261x2 + 87x3 + (-3x * 41x2 + x2 * 41x2) + 4x3 * (-3x + x2)) = 48
(270x + -90x2 + -261x2 + 87x3 + (-123x3 + 41x4) + 4x3 * (-3x + x2)) = 48
(270x + -90x2 + -261x2 + 87x3 + -123x3 + 41x4 + (-3x * 4x3 + x2 * 4x3)) = 48
(270x + -90x2 + -261x2 + 87x3 + -123x3 + 41x4 + (-12x4 + 4x5)) = 48

Combine like terms: -90x2 + -261x2 = -351x2
(270x + -351x2 + 87x3 + -123x3 + 41x4 + -12x4 + 4x5) = 48

Combine like terms: 87x3 + -123x3 = -36x3
(270x + -351x2 + -36x3 + 41x4 + -12x4 + 4x5) = 48

Combine like terms: 41x4 + -12x4 = 29x4
(270x + -351x2 + -36x3 + 29x4 + 4x5) = 48

Solving
270x + -351x2 + -36x3 + 29x4 + 4x5 = 48

Solving for variable 'x'.

Reorder the terms:
-48 + 270x + -351x2 + -36x3 + 29x4 + 4x5 = 48 + -48

Combine like terms: 48 + -48 = 0
-48 + 270x + -351x2 + -36x3 + 29x4 + 4x5 = 0

The solution to this equation could not be determined.

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