x(x+5)=4-15

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Solution for x(x+5)=4-15 equation: 


Simplifying
x(x + 5) = 4 + -15

Reorder the terms:
x(5 + x) = 4 + -15
(5 * x + x * x) = 4 + -15
(5x + x2) = 4 + -15

Combine like terms: 4 + -15 = -11
5x + x2 = -11

Solving
5x + x2 = -11

Solving for variable 'x'.

Reorder the terms:
11 + 5x + x2 = -11 + 11

Combine like terms: -11 + 11 = 0
11 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-11' to each side of the equation.
11 + 5x + -11 + x2 = 0 + -11

Reorder the terms:
11 + -11 + 5x + x2 = 0 + -11

Combine like terms: 11 + -11 = 0
0 + 5x + x2 = 0 + -11
5x + x2 = 0 + -11

Combine like terms: 0 + -11 = -11
5x + x2 = -11

The x term is 5x.  Take half its coefficient (2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
5x + 6.25 + x2 = -11 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -11 + 6.25

Combine like terms: -11 + 6.25 = -4.75
6.25 + 5x + x2 = -4.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -4.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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