x(x+5)=-10

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Solution for x(x+5)=-10 equation:


Simplifying
x(x + 5) = -10

Reorder the terms:
x(5 + x) = -10
(5 * x + x * x) = -10
(5x + x2) = -10

Solving
5x + x2 = -10

Solving for variable 'x'.

Reorder the terms:
10 + 5x + x2 = -10 + 10

Combine like terms: -10 + 10 = 0
10 + 5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-10' to each side of the equation.
10 + 5x + -10 + x2 = 0 + -10

Reorder the terms:
10 + -10 + 5x + x2 = 0 + -10

Combine like terms: 10 + -10 = 0
0 + 5x + x2 = 0 + -10
5x + x2 = 0 + -10

Combine like terms: 0 + -10 = -10
5x + x2 = -10

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 = -10 + 6.25

Reorder the terms:
6.25 + 5x + x2 = -10 + 6.25

Combine like terms: -10 + 6.25 = -3.75
6.25 + 5x + x2 = -3.75

Factor a perfect square on the left side:
(x + 2.5)(x + 2.5) = -3.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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