(x+9)(x+9)=-4

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Solution for (x+9)(x+9)=-4 equation:


Simplifying
(x + 9)(x + 9) = -4

Reorder the terms:
(9 + x)(x + 9) = -4

Reorder the terms:
(9 + x)(9 + x) = -4

Multiply (9 + x) * (9 + x)
(9(9 + x) + x(9 + x)) = -4
((9 * 9 + x * 9) + x(9 + x)) = -4
((81 + 9x) + x(9 + x)) = -4
(81 + 9x + (9 * x + x * x)) = -4
(81 + 9x + (9x + x2)) = -4

Combine like terms: 9x + 9x = 18x
(81 + 18x + x2) = -4

Solving
81 + 18x + x2 = -4

Solving for variable 'x'.

Reorder the terms:
81 + 4 + 18x + x2 = -4 + 4

Combine like terms: 81 + 4 = 85
85 + 18x + x2 = -4 + 4

Combine like terms: -4 + 4 = 0
85 + 18x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-85' to each side of the equation.
85 + 18x + -85 + x2 = 0 + -85

Reorder the terms:
85 + -85 + 18x + x2 = 0 + -85

Combine like terms: 85 + -85 = 0
0 + 18x + x2 = 0 + -85
18x + x2 = 0 + -85

Combine like terms: 0 + -85 = -85
18x + x2 = -85

The x term is 18x.  Take half its coefficient (9).
Square it (81) and add it to both sides.

Add '81' to each side of the equation.
18x + 81 + x2 = -85 + 81

Reorder the terms:
81 + 18x + x2 = -85 + 81

Combine like terms: -85 + 81 = -4
81 + 18x + x2 = -4

Factor a perfect square on the left side:
(x + 9)(x + 9) = -4

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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