(x+2a+12)(x+2a+10)=120

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Solution for (x+2a+12)(x+2a+10)=120 equation: 


Simplifying
(x + 2a + 12)(x + 2a + 10) = 120

Reorder the terms:
(12 + 2a + x)(x + 2a + 10) = 120

Reorder the terms:
(12 + 2a + x)(10 + 2a + x) = 120

Multiply (12 + 2a + x) * (10 + 2a + x)
(12(10 + 2a + x) + 2a * (10 + 2a + x) + x(10 + 2a + x)) = 120
((10 * 12 + 2a * 12 + x * 12) + 2a * (10 + 2a + x) + x(10 + 2a + x)) = 120
((120 + 24a + 12x) + 2a * (10 + 2a + x) + x(10 + 2a + x)) = 120
(120 + 24a + 12x + (10 * 2a + 2a * 2a + x * 2a) + x(10 + 2a + x)) = 120

Reorder the terms:
(120 + 24a + 12x + (20a + 2ax + 4a2) + x(10 + 2a + x)) = 120
(120 + 24a + 12x + (20a + 2ax + 4a2) + x(10 + 2a + x)) = 120
(120 + 24a + 12x + 20a + 2ax + 4a2 + (10 * x + 2a * x + x * x)) = 120

Reorder the terms:
(120 + 24a + 12x + 20a + 2ax + 4a2 + (2ax + 10x + x2)) = 120
(120 + 24a + 12x + 20a + 2ax + 4a2 + (2ax + 10x + x2)) = 120

Reorder the terms:
(120 + 24a + 20a + 2ax + 2ax + 4a2 + 12x + 10x + x2) = 120

Combine like terms: 24a + 20a = 44a
(120 + 44a + 2ax + 2ax + 4a2 + 12x + 10x + x2) = 120

Combine like terms: 2ax + 2ax = 4ax
(120 + 44a + 4ax + 4a2 + 12x + 10x + x2) = 120

Combine like terms: 12x + 10x = 22x
(120 + 44a + 4ax + 4a2 + 22x + x2) = 120

Add '-120' to each side of the equation.
120 + 44a + 4ax + 4a2 + 22x + -120 + x2 = 120 + -120

Reorder the terms:
120 + -120 + 44a + 4ax + 4a2 + 22x + x2 = 120 + -120

Combine like terms: 120 + -120 = 0
0 + 44a + 4ax + 4a2 + 22x + x2 = 120 + -120
44a + 4ax + 4a2 + 22x + x2 = 120 + -120

Combine like terms: 120 + -120 = 0
44a + 4ax + 4a2 + 22x + x2 = 0

Solving
44a + 4ax + 4a2 + 22x + x2 = 0

Solving for variable 'a'.

The solution to this equation could not be determined.

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