2x^2+15+7=(2x+1)

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Solution for 2x^2+15+7=(2x+1) equation: 


Simplifying
2x2 + 15 + 7 = (2x + 1)

Reorder the terms:
15 + 7 + 2x2 = (2x + 1)

Combine like terms: 15 + 7 = 22
22 + 2x2 = (2x + 1)

Reorder the terms:
22 + 2x2 = (1 + 2x)

Remove parenthesis around (1 + 2x)
22 + 2x2 = 1 + 2x

Solving
22 + 2x2 = 1 + 2x

Solving for variable 'x'.

Reorder the terms:
22 + -1 + -2x + 2x2 = 1 + 2x + -1 + -2x

Combine like terms: 22 + -1 = 21
21 + -2x + 2x2 = 1 + 2x + -1 + -2x

Reorder the terms:
21 + -2x + 2x2 = 1 + -1 + 2x + -2x

Combine like terms: 1 + -1 = 0
21 + -2x + 2x2 = 0 + 2x + -2x
21 + -2x + 2x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
21 + -2x + 2x2 = 0

Begin completing the square.  Divide all terms by
2 the coefficient of the squared term: 

Divide each side by '2'.
10.5 + -1x + x2 = 0

Move the constant term to the right:

Add '-10.5' to each side of the equation.
10.5 + -1x + -10.5 + x2 = 0 + -10.5

Reorder the terms:
10.5 + -10.5 + -1x + x2 = 0 + -10.5

Combine like terms: 10.5 + -10.5 = 0.0
0.0 + -1x + x2 = 0 + -10.5
-1x + x2 = 0 + -10.5

Combine like terms: 0 + -10.5 = -10.5
-1x + x2 = -10.5

The x term is -1x.  Take half its coefficient (-0.5).
Square it (0.25) and add it to both sides.

Add '0.25' to each side of the equation.
-1x + 0.25 + x2 = -10.5 + 0.25

Reorder the terms:
0.25 + -1x + x2 = -10.5 + 0.25

Combine like terms: -10.5 + 0.25 = -10.25
0.25 + -1x + x2 = -10.25

Factor a perfect square on the left side:
(x + -0.5)(x + -0.5) = -10.25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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