2v^2+7v+34=(v-2)(v+2)

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Solution for 2v^2+7v+34=(v-2)(v+2) equation: 


Simplifying
2v2 + 7v + 34 = (v + -2)(v + 2)

Reorder the terms:
34 + 7v + 2v2 = (v + -2)(v + 2)

Reorder the terms:
34 + 7v + 2v2 = (-2 + v)(v + 2)

Reorder the terms:
34 + 7v + 2v2 = (-2 + v)(2 + v)

Multiply (-2 + v) * (2 + v)
34 + 7v + 2v2 = (-2(2 + v) + v(2 + v))
34 + 7v + 2v2 = ((2 * -2 + v * -2) + v(2 + v))
34 + 7v + 2v2 = ((-4 + -2v) + v(2 + v))
34 + 7v + 2v2 = (-4 + -2v + (2 * v + v * v))
34 + 7v + 2v2 = (-4 + -2v + (2v + v2))

Combine like terms: -2v + 2v = 0
34 + 7v + 2v2 = (-4 + 0 + v2)
34 + 7v + 2v2 = (-4 + v2)

Solving
34 + 7v + 2v2 = -4 + v2

Solving for variable 'v'.

Reorder the terms:
34 + 4 + 7v + 2v2 + -1v2 = -4 + v2 + 4 + -1v2

Combine like terms: 34 + 4 = 38
38 + 7v + 2v2 + -1v2 = -4 + v2 + 4 + -1v2

Combine like terms: 2v2 + -1v2 = 1v2
38 + 7v + 1v2 = -4 + v2 + 4 + -1v2

Reorder the terms:
38 + 7v + 1v2 = -4 + 4 + v2 + -1v2

Combine like terms: -4 + 4 = 0
38 + 7v + 1v2 = 0 + v2 + -1v2
38 + 7v + 1v2 = v2 + -1v2

Combine like terms: v2 + -1v2 = 0
38 + 7v + 1v2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-38' to each side of the equation.
38 + 7v + -38 + v2 = 0 + -38

Reorder the terms:
38 + -38 + 7v + v2 = 0 + -38

Combine like terms: 38 + -38 = 0
0 + 7v + v2 = 0 + -38
7v + v2 = 0 + -38

Combine like terms: 0 + -38 = -38
7v + v2 = -38

The v term is 7v.  Take half its coefficient (3.5).
Square it (12.25) and add it to both sides.

Add '12.25' to each side of the equation.
7v + 12.25 + v2 = -38 + 12.25

Reorder the terms:
12.25 + 7v + v2 = -38 + 12.25

Combine like terms: -38 + 12.25 = -25.75
12.25 + 7v + v2 = -25.75

Factor a perfect square on the left side:
(v + 3.5)(v + 3.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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