v^2+12+20=(v+10)(v+0)

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Solution for v^2+12+20=(v+10)(v+0) equation:


Simplifying
v2 + 12 + 20 = (v + 10)(v + 0)

Reorder the terms:
12 + 20 + v2 = (v + 10)(v + 0)

Combine like terms: 12 + 20 = 32
32 + v2 = (v + 10)(v + 0)

Reorder the terms:
32 + v2 = (10 + v)(v + 0)

Reorder the terms:
32 + v2 = (10 + v)(0 + v)
Remove the zero:
32 + v2 = (10 + v)(v)

Reorder the terms for easier multiplication:
32 + v2 = v(10 + v)
32 + v2 = (10 * v + v * v)
32 + v2 = (10v + v2)

Add '-1v2' to each side of the equation.
32 + v2 + -1v2 = 10v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
32 + 0 = 10v + v2 + -1v2
32 = 10v + v2 + -1v2

Combine like terms: v2 + -1v2 = 0
32 = 10v + 0
32 = 10v

Solving
32 = 10v

Solving for variable 'v'.

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

Add '-10v' to each side of the equation.
32 + -10v = 10v + -10v

Combine like terms: 10v + -10v = 0
32 + -10v = 0

Add '-32' to each side of the equation.
32 + -32 + -10v = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -10v = 0 + -32
-10v = 0 + -32

Combine like terms: 0 + -32 = -32
-10v = -32

Divide each side by '-10'.
v = 3.2

Simplifying
v = 3.2

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