(x+3)x=(x-4)14

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Solution for (x+3)x=(x-4)14 equation: 


Simplifying
(x + 3) * x = (x + -4) * 14

Reorder the terms:
(3 + x) * x = (x + -4) * 14

Reorder the terms for easier multiplication:
x(3 + x) = (x + -4) * 14
(3 * x + x * x) = (x + -4) * 14
(3x + x2) = (x + -4) * 14

Reorder the terms:
3x + x2 = (-4 + x) * 14

Reorder the terms for easier multiplication:
3x + x2 = 14(-4 + x)
3x + x2 = (-4 * 14 + x * 14)
3x + x2 = (-56 + 14x)

Solving
3x + x2 = -56 + 14x

Solving for variable 'x'.

Reorder the terms:
56 + 3x + -14x + x2 = -56 + 14x + 56 + -14x

Combine like terms: 3x + -14x = -11x
56 + -11x + x2 = -56 + 14x + 56 + -14x

Reorder the terms:
56 + -11x + x2 = -56 + 56 + 14x + -14x

Combine like terms: -56 + 56 = 0
56 + -11x + x2 = 0 + 14x + -14x
56 + -11x + x2 = 14x + -14x

Combine like terms: 14x + -14x = 0
56 + -11x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-56' to each side of the equation.
56 + -11x + -56 + x2 = 0 + -56

Reorder the terms:
56 + -56 + -11x + x2 = 0 + -56

Combine like terms: 56 + -56 = 0
0 + -11x + x2 = 0 + -56
-11x + x2 = 0 + -56

Combine like terms: 0 + -56 = -56
-11x + x2 = -56

The x term is -11x.  Take half its coefficient (-5.5).
Square it (30.25) and add it to both sides.

Add '30.25' to each side of the equation.
-11x + 30.25 + x2 = -56 + 30.25

Reorder the terms:
30.25 + -11x + x2 = -56 + 30.25

Combine like terms: -56 + 30.25 = -25.75
30.25 + -11x + x2 = -25.75

Factor a perfect square on the left side:
(x + -5.5)(x + -5.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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