2x+6x-38=x+28+2x^2

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Solution for 2x+6x-38=x+28+2x^2 equation:


Simplifying
2x + 6x + -38 = x + 28 + 2x2

Reorder the terms:
-38 + 2x + 6x = x + 28 + 2x2

Combine like terms: 2x + 6x = 8x
-38 + 8x = x + 28 + 2x2

Reorder the terms:
-38 + 8x = 28 + x + 2x2

Solving
-38 + 8x = 28 + x + 2x2

Solving for variable 'x'.

Reorder the terms:
-38 + -28 + 8x + -1x + -2x2 = 28 + x + 2x2 + -28 + -1x + -2x2

Combine like terms: -38 + -28 = -66
-66 + 8x + -1x + -2x2 = 28 + x + 2x2 + -28 + -1x + -2x2

Combine like terms: 8x + -1x = 7x
-66 + 7x + -2x2 = 28 + x + 2x2 + -28 + -1x + -2x2

Reorder the terms:
-66 + 7x + -2x2 = 28 + -28 + x + -1x + 2x2 + -2x2

Combine like terms: 28 + -28 = 0
-66 + 7x + -2x2 = 0 + x + -1x + 2x2 + -2x2
-66 + 7x + -2x2 = x + -1x + 2x2 + -2x2

Combine like terms: x + -1x = 0
-66 + 7x + -2x2 = 0 + 2x2 + -2x2
-66 + 7x + -2x2 = 2x2 + -2x2

Combine like terms: 2x2 + -2x2 = 0
-66 + 7x + -2x2 = 0

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

Divide each side by '-2'.
33 + -3.5x + x2 = 0

Move the constant term to the right:

Add '-33' to each side of the equation.
33 + -3.5x + -33 + x2 = 0 + -33

Reorder the terms:
33 + -33 + -3.5x + x2 = 0 + -33

Combine like terms: 33 + -33 = 0
0 + -3.5x + x2 = 0 + -33
-3.5x + x2 = 0 + -33

Combine like terms: 0 + -33 = -33
-3.5x + x2 = -33

The x term is -3.5x.  Take half its coefficient (-1.75).
Square it (3.0625) and add it to both sides.

Add '3.0625' to each side of the equation.
-3.5x + 3.0625 + x2 = -33 + 3.0625

Reorder the terms:
3.0625 + -3.5x + x2 = -33 + 3.0625

Combine like terms: -33 + 3.0625 = -29.9375
3.0625 + -3.5x + x2 = -29.9375

Factor a perfect square on the left side:
(x + -1.75)(x + -1.75) = -29.9375

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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