x^2+7x+12(x+5)=x(x+1)(x+2)+4560

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Solution for x^2+7x+12(x+5)=x(x+1)(x+2)+4560 equation: 


Simplifying
x2 + 7x + 12(x + 5) = x(x + 1)(x + 2) + 4560

Reorder the terms:
x2 + 7x + 12(5 + x) = x(x + 1)(x + 2) + 4560
x2 + 7x + (5 * 12 + x * 12) = x(x + 1)(x + 2) + 4560
x2 + 7x + (60 + 12x) = x(x + 1)(x + 2) + 4560

Reorder the terms:
60 + 7x + 12x + x2 = x(x + 1)(x + 2) + 4560

Combine like terms: 7x + 12x = 19x
60 + 19x + x2 = x(x + 1)(x + 2) + 4560

Reorder the terms:
60 + 19x + x2 = x(1 + x)(x + 2) + 4560

Reorder the terms:
60 + 19x + x2 = x(1 + x)(2 + x) + 4560

Multiply (1 + x) * (2 + x)
60 + 19x + x2 = x(1(2 + x) + x(2 + x)) + 4560
60 + 19x + x2 = x((2 * 1 + x * 1) + x(2 + x)) + 4560
60 + 19x + x2 = x((2 + 1x) + x(2 + x)) + 4560
60 + 19x + x2 = x(2 + 1x + (2 * x + x * x)) + 4560
60 + 19x + x2 = x(2 + 1x + (2x + x2)) + 4560

Combine like terms: 1x + 2x = 3x
60 + 19x + x2 = x(2 + 3x + x2) + 4560
60 + 19x + x2 = (2 * x + 3x * x + x2 * x) + 4560
60 + 19x + x2 = (2x + 3x2 + x3) + 4560

Reorder the terms:
60 + 19x + x2 = 4560 + 2x + 3x2 + x3

Solving
60 + 19x + x2 = 4560 + 2x + 3x2 + x3

Solving for variable 'x'.

Reorder the terms:
60 + -4560 + 19x + -2x + x2 + -3x2 + -1x3 = 4560 + 2x + 3x2 + x3 + -4560 + -2x + -3x2 + -1x3

Combine like terms: 60 + -4560 = -4500
-4500 + 19x + -2x + x2 + -3x2 + -1x3 = 4560 + 2x + 3x2 + x3 + -4560 + -2x + -3x2 + -1x3

Combine like terms: 19x + -2x = 17x
-4500 + 17x + x2 + -3x2 + -1x3 = 4560 + 2x + 3x2 + x3 + -4560 + -2x + -3x2 + -1x3

Combine like terms: x2 + -3x2 = -2x2
-4500 + 17x + -2x2 + -1x3 = 4560 + 2x + 3x2 + x3 + -4560 + -2x + -3x2 + -1x3

Reorder the terms:
-4500 + 17x + -2x2 + -1x3 = 4560 + -4560 + 2x + -2x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 4560 + -4560 = 0
-4500 + 17x + -2x2 + -1x3 = 0 + 2x + -2x + 3x2 + -3x2 + x3 + -1x3
-4500 + 17x + -2x2 + -1x3 = 2x + -2x + 3x2 + -3x2 + x3 + -1x3

Combine like terms: 2x + -2x = 0
-4500 + 17x + -2x2 + -1x3 = 0 + 3x2 + -3x2 + x3 + -1x3
-4500 + 17x + -2x2 + -1x3 = 3x2 + -3x2 + x3 + -1x3

Combine like terms: 3x2 + -3x2 = 0
-4500 + 17x + -2x2 + -1x3 = 0 + x3 + -1x3
-4500 + 17x + -2x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-4500 + 17x + -2x2 + -1x3 = 0

The solution to this equation could not be determined.

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