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

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


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

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

Reorder the terms:
5x + x2 = -15 + x + x + x + x

Combine like terms: x + x = 2x
5x + x2 = -15 + 2x + x + x

Combine like terms: 2x + x = 3x
5x + x2 = -15 + 3x + x

Combine like terms: 3x + x = 4x
5x + x2 = -15 + 4x

Solving
5x + x2 = -15 + 4x

Solving for variable 'x'.

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

Combine like terms: 5x + -4x = 1x
15 + 1x + x2 = -15 + 4x + 15 + -4x

Reorder the terms:
15 + 1x + x2 = -15 + 15 + 4x + -4x

Combine like terms: -15 + 15 = 0
15 + 1x + x2 = 0 + 4x + -4x
15 + 1x + x2 = 4x + -4x

Combine like terms: 4x + -4x = 0
15 + 1x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-15' to each side of the equation.
15 + 1x + -15 + x2 = 0 + -15

Reorder the terms:
15 + -15 + 1x + x2 = 0 + -15

Combine like terms: 15 + -15 = 0
0 + 1x + x2 = 0 + -15
1x + x2 = 0 + -15

Combine like terms: 0 + -15 = -15
1x + x2 = -15

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.
x + 0.25 + x2 = -15 + 0.25

Reorder the terms:
0.25 + x + x2 = -15 + 0.25

Combine like terms: -15 + 0.25 = -14.75
0.25 + x + x2 = -14.75

Factor a perfect square on the left side:
(x + 0.5)(x + 0.5) = -14.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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