2v-10v-12=(v-3)(v-3)

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Solution for 2v-10v-12=(v-3)(v-3) equation: 


Simplifying
2v + -10v + -12 = (v + -3)(v + -3)

Reorder the terms:
-12 + 2v + -10v = (v + -3)(v + -3)

Combine like terms: 2v + -10v = -8v
-12 + -8v = (v + -3)(v + -3)

Reorder the terms:
-12 + -8v = (-3 + v)(v + -3)

Reorder the terms:
-12 + -8v = (-3 + v)(-3 + v)

Multiply (-3 + v) * (-3 + v)
-12 + -8v = (-3(-3 + v) + v(-3 + v))
-12 + -8v = ((-3 * -3 + v * -3) + v(-3 + v))
-12 + -8v = ((9 + -3v) + v(-3 + v))
-12 + -8v = (9 + -3v + (-3 * v + v * v))
-12 + -8v = (9 + -3v + (-3v + v2))

Combine like terms: -3v + -3v = -6v
-12 + -8v = (9 + -6v + v2)

Solving
-12 + -8v = 9 + -6v + v2

Solving for variable 'v'.

Reorder the terms:
-12 + -9 + -8v + 6v + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -12 + -9 = -21
-21 + -8v + 6v + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Combine like terms: -8v + 6v = -2v
-21 + -2v + -1v2 = 9 + -6v + v2 + -9 + 6v + -1v2

Reorder the terms:
-21 + -2v + -1v2 = 9 + -9 + -6v + 6v + v2 + -1v2

Combine like terms: 9 + -9 = 0
-21 + -2v + -1v2 = 0 + -6v + 6v + v2 + -1v2
-21 + -2v + -1v2 = -6v + 6v + v2 + -1v2

Combine like terms: -6v + 6v = 0
-21 + -2v + -1v2 = 0 + v2 + -1v2
-21 + -2v + -1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
-21 + -2v + -1v2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(21 + 2v + v2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(21 + 2v + v2)' equal to zero and attempt to solve:

Simplifying
21 + 2v + v2 = 0

Solving
21 + 2v + v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-21' to each side of the equation.
21 + 2v + -21 + v2 = 0 + -21

Reorder the terms:
21 + -21 + 2v + v2 = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 2v + v2 = 0 + -21
2v + v2 = 0 + -21

Combine like terms: 0 + -21 = -21
2v + v2 = -21

The v term is 2v.  Take half its coefficient (1).
Square it (1) and add it to both sides.

Add '1' to each side of the equation.
2v + 1 + v2 = -21 + 1

Reorder the terms:
1 + 2v + v2 = -21 + 1

Combine like terms: -21 + 1 = -20
1 + 2v + v2 = -20

Factor a perfect square on the left side:
(v + 1)(v + 1) = -20

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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