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

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


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

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

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

Multiply (5 + x) * (5 + x)
(5(5 + x) + x(5 + x)) = -15
((5 * 5 + x * 5) + x(5 + x)) = -15
((25 + 5x) + x(5 + x)) = -15
(25 + 5x + (5 * x + x * x)) = -15
(25 + 5x + (5x + x2)) = -15

Combine like terms: 5x + 5x = 10x
(25 + 10x + x2) = -15

Solving
25 + 10x + x2 = -15

Solving for variable 'x'.

Reorder the terms:
25 + 15 + 10x + x2 = -15 + 15

Combine like terms: 25 + 15 = 40
40 + 10x + x2 = -15 + 15

Combine like terms: -15 + 15 = 0
40 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-40' to each side of the equation.
40 + 10x + -40 + x2 = 0 + -40

Reorder the terms:
40 + -40 + 10x + x2 = 0 + -40

Combine like terms: 40 + -40 = 0
0 + 10x + x2 = 0 + -40
10x + x2 = 0 + -40

Combine like terms: 0 + -40 = -40
10x + x2 = -40

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 = -40 + 25

Reorder the terms:
25 + 10x + x2 = -40 + 25

Combine like terms: -40 + 25 = -15
25 + 10x + x2 = -15

Factor a perfect square on the left side:
(x + 5)(x + 5) = -15

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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