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

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


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

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

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

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

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

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

Multiply (2 + x) * (2 + x)
60 + 19x + x2 = x(2(2 + x) + x(2 + x)) + 4560
60 + 19x + x2 = x((2 * 2 + x * 2) + x(2 + x)) + 4560
60 + 19x + x2 = x((4 + 2x) + x(2 + x)) + 4560
60 + 19x + x2 = x(4 + 2x + (2 * x + x * x)) + 4560
60 + 19x + x2 = x(4 + 2x + (2x + x2)) + 4560

Combine like terms: 2x + 2x = 4x
60 + 19x + x2 = x(4 + 4x + x2) + 4560
60 + 19x + x2 = (4 * x + 4x * x + x2 * x) + 4560
60 + 19x + x2 = (4x + 4x2 + x3) + 4560

Reorder the terms:
60 + 19x + x2 = 4560 + 4x + 4x2 + x3

Solving
60 + 19x + x2 = 4560 + 4x + 4x2 + x3

Solving for variable 'x'.

Reorder the terms:
60 + -4560 + 19x + -4x + x2 + -4x2 + -1x3 = 4560 + 4x + 4x2 + x3 + -4560 + -4x + -4x2 + -1x3

Combine like terms: 60 + -4560 = -4500
-4500 + 19x + -4x + x2 + -4x2 + -1x3 = 4560 + 4x + 4x2 + x3 + -4560 + -4x + -4x2 + -1x3

Combine like terms: 19x + -4x = 15x
-4500 + 15x + x2 + -4x2 + -1x3 = 4560 + 4x + 4x2 + x3 + -4560 + -4x + -4x2 + -1x3

Combine like terms: x2 + -4x2 = -3x2
-4500 + 15x + -3x2 + -1x3 = 4560 + 4x + 4x2 + x3 + -4560 + -4x + -4x2 + -1x3

Reorder the terms:
-4500 + 15x + -3x2 + -1x3 = 4560 + -4560 + 4x + -4x + 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4560 + -4560 = 0
-4500 + 15x + -3x2 + -1x3 = 0 + 4x + -4x + 4x2 + -4x2 + x3 + -1x3
-4500 + 15x + -3x2 + -1x3 = 4x + -4x + 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4x + -4x = 0
-4500 + 15x + -3x2 + -1x3 = 0 + 4x2 + -4x2 + x3 + -1x3
-4500 + 15x + -3x2 + -1x3 = 4x2 + -4x2 + x3 + -1x3

Combine like terms: 4x2 + -4x2 = 0
-4500 + 15x + -3x2 + -1x3 = 0 + x3 + -1x3
-4500 + 15x + -3x2 + -1x3 = x3 + -1x3

Combine like terms: x3 + -1x3 = 0
-4500 + 15x + -3x2 + -1x3 = 0

The solution to this equation could not be determined.

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