(x+3)(x+3)=-25

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Solution for (x+3)(x+3)=-25 equation:


Simplifying
(x + 3)(x + 3) = -25

Reorder the terms:
(3 + x)(x + 3) = -25

Reorder the terms:
(3 + x)(3 + x) = -25

Multiply (3 + x) * (3 + x)
(3(3 + x) + x(3 + x)) = -25
((3 * 3 + x * 3) + x(3 + x)) = -25
((9 + 3x) + x(3 + x)) = -25
(9 + 3x + (3 * x + x * x)) = -25
(9 + 3x + (3x + x2)) = -25

Combine like terms: 3x + 3x = 6x
(9 + 6x + x2) = -25

Solving
9 + 6x + x2 = -25

Solving for variable 'x'.

Reorder the terms:
9 + 25 + 6x + x2 = -25 + 25

Combine like terms: 9 + 25 = 34
34 + 6x + x2 = -25 + 25

Combine like terms: -25 + 25 = 0
34 + 6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-34' to each side of the equation.
34 + 6x + -34 + x2 = 0 + -34

Reorder the terms:
34 + -34 + 6x + x2 = 0 + -34

Combine like terms: 34 + -34 = 0
0 + 6x + x2 = 0 + -34
6x + x2 = 0 + -34

Combine like terms: 0 + -34 = -34
6x + x2 = -34

The x term is 6x.  Take half its coefficient (3).
Square it (9) and add it to both sides.

Add '9' to each side of the equation.
6x + 9 + x2 = -34 + 9

Reorder the terms:
9 + 6x + x2 = -34 + 9

Combine like terms: -34 + 9 = -25
9 + 6x + x2 = -25

Factor a perfect square on the left side:
(x + 3)(x + 3) = -25

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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