((5-x)(12+3x+4x+x^2))-3(-18-6x)=0

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Solution for ((5-x)(12+3x+4x+x^2))-3(-18-6x)=0 equation: 


Simplifying
((5 + -1x)(12 + 3x + 4x + x2)) + -3(-18 + -6x) = 0

Combine like terms: 3x + 4x = 7x
((5 + -1x)(12 + 7x + x2)) + -3(-18 + -6x) = 0

Multiply (5 + -1x) * (12 + 7x + x2)
((5(12 + 7x + x2) + -1x * (12 + 7x + x2))) + -3(-18 + -6x) = 0
(((12 * 5 + 7x * 5 + x2 * 5) + -1x * (12 + 7x + x2))) + -3(-18 + -6x) = 0
(((60 + 35x + 5x2) + -1x * (12 + 7x + x2))) + -3(-18 + -6x) = 0
((60 + 35x + 5x2 + (12 * -1x + 7x * -1x + x2 * -1x))) + -3(-18 + -6x) = 0
((60 + 35x + 5x2 + (-12x + -7x2 + -1x3))) + -3(-18 + -6x) = 0

Reorder the terms:
((60 + 35x + -12x + 5x2 + -7x2 + -1x3)) + -3(-18 + -6x) = 0

Combine like terms: 35x + -12x = 23x
((60 + 23x + 5x2 + -7x2 + -1x3)) + -3(-18 + -6x) = 0

Combine like terms: 5x2 + -7x2 = -2x2
((60 + 23x + -2x2 + -1x3)) + -3(-18 + -6x) = 0
(60 + 23x + -2x2 + -1x3) + -3(-18 + -6x) = 0

Remove parenthesis around (60 + 23x + -2x2 + -1x3)
60 + 23x + -2x2 + -1x3 + -3(-18 + -6x) = 0
60 + 23x + -2x2 + -1x3 + (-18 * -3 + -6x * -3) = 0
60 + 23x + -2x2 + -1x3 + (54 + 18x) = 0

Reorder the terms:
60 + 54 + 23x + 18x + -2x2 + -1x3 = 0

Combine like terms: 60 + 54 = 114
114 + 23x + 18x + -2x2 + -1x3 = 0

Combine like terms: 23x + 18x = 41x
114 + 41x + -2x2 + -1x3 = 0

Solving
114 + 41x + -2x2 + -1x3 = 0

Solving for variable 'x'.

The solution to this equation could not be determined.

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