x^2+10x=-50

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Solution for x^2+10x=-50 equation:


Simplifying
x2 + 10x = -50

Reorder the terms:
10x + x2 = -50

Solving
10x + x2 = -50

Solving for variable 'x'.

Reorder the terms:
50 + 10x + x2 = -50 + 50

Combine like terms: -50 + 50 = 0
50 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-50' to each side of the equation.
50 + 10x + -50 + x2 = 0 + -50

Reorder the terms:
50 + -50 + 10x + x2 = 0 + -50

Combine like terms: 50 + -50 = 0
0 + 10x + x2 = 0 + -50
10x + x2 = 0 + -50

Combine like terms: 0 + -50 = -50
10x + x2 = -50

The x term is 10x.  Take half its coefficient (5).
Square it (25) and add it to both sides.

Add '25' to each side of the equation.
10x + 25 + x2 = -50 + 25

Reorder the terms:
25 + 10x + x2 = -50 + 25

Combine like terms: -50 + 25 = -25
25 + 10x + x2 = -25

Factor a perfect square on the left side:
(x + 5)(x + 5) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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