3x+4x=56+x^2

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Solution for 3x+4x=56+x^2 equation:


Simplifying
3x + 4x = 56 + x2

Combine like terms: 3x + 4x = 7x
7x = 56 + x2

Solving
7x = 56 + x2

Solving for variable 'x'.

Reorder the terms:
-56 + 7x + -1x2 = 56 + x2 + -56 + -1x2

Reorder the terms:
-56 + 7x + -1x2 = 56 + -56 + x2 + -1x2

Combine like terms: 56 + -56 = 0
-56 + 7x + -1x2 = 0 + x2 + -1x2
-56 + 7x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-56 + 7x + -1x2 = 0

Begin completing the square.  Divide all terms by
-1 the coefficient of the squared term: 

Divide each side by '-1'.
56 + -7x + x2 = 0

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -7x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -7x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -7x + x2 = 0 + -56
-7x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-7x + x2 = -56

The x term is -7x.  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.
-7x + 12.25 + x2 = -56 + 12.25

Reorder the terms:
12.25 + -7x + x2 = -56 + 12.25

Combine like terms: -56 + 12.25 = -43.75
12.25 + -7x + x2 = -43.75

Factor a perfect square on the left side:
(x + -3.5)(x + -3.5) = -43.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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