v^2+12v+20=(v+10)(v+10)

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Solution for v^2+12v+20=(v+10)(v+10) equation: 


Simplifying
v2 + 12v + 20 = (v + 10)(v + 10)

Reorder the terms:
20 + 12v + v2 = (v + 10)(v + 10)

Reorder the terms:
20 + 12v + v2 = (10 + v)(v + 10)

Reorder the terms:
20 + 12v + v2 = (10 + v)(10 + v)

Multiply (10 + v) * (10 + v)
20 + 12v + v2 = (10(10 + v) + v(10 + v))
20 + 12v + v2 = ((10 * 10 + v * 10) + v(10 + v))
20 + 12v + v2 = ((100 + 10v) + v(10 + v))
20 + 12v + v2 = (100 + 10v + (10 * v + v * v))
20 + 12v + v2 = (100 + 10v + (10v + v2))

Combine like terms: 10v + 10v = 20v
20 + 12v + v2 = (100 + 20v + v2)

Add '-1v2' to each side of the equation.
20 + 12v + v2 + -1v2 = 100 + 20v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
20 + 12v + 0 = 100 + 20v + v2 + -1v2
20 + 12v = 100 + 20v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
20 + 12v = 100 + 20v + 0
20 + 12v = 100 + 20v

Solving
20 + 12v = 100 + 20v

Solving for variable 'v'.

Move all terms containing v to the left, all other terms to the right.

Add '-20v' to each side of the equation.
20 + 12v + -20v = 100 + 20v + -20v

Combine like terms: 12v + -20v = -8v
20 + -8v = 100 + 20v + -20v

Combine like terms: 20v + -20v = 0
20 + -8v = 100 + 0
20 + -8v = 100

Add '-20' to each side of the equation.
20 + -20 + -8v = 100 + -20

Combine like terms: 20 + -20 = 0
0 + -8v = 100 + -20
-8v = 100 + -20

Combine like terms: 100 + -20 = 80
-8v = 80

Divide each side by '-8'.
v = -10

Simplifying
v = -10

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