x+5-((x+5)*(x+5))-(x*3)-25=0

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Solution for x+5-((x+5)*(x+5))-(x*3)-25=0 equation: 


Simplifying
x + 5 + -1((x + 5)(x + 5)) + -1(x * 3) + -25 = 0

Reorder the terms:
x + 5 + -1((5 + x)(x + 5)) + -1(x * 3) + -25 = 0

Reorder the terms:
x + 5 + -1((5 + x)(5 + x)) + -1(x * 3) + -25 = 0

Multiply (5 + x) * (5 + x)
x + 5 + -1((5(5 + x) + x(5 + x))) + -1(x * 3) + -25 = 0
x + 5 + -1(((5 * 5 + x * 5) + x(5 + x))) + -1(x * 3) + -25 = 0
x + 5 + -1(((25 + 5x) + x(5 + x))) + -1(x * 3) + -25 = 0
x + 5 + -1((25 + 5x + (5 * x + x * x))) + -1(x * 3) + -25 = 0
x + 5 + -1((25 + 5x + (5x + x2))) + -1(x * 3) + -25 = 0

Combine like terms: 5x + 5x = 10x
x + 5 + -1((25 + 10x + x2)) + -1(x * 3) + -25 = 0
x + 5 + (25 * -1 + 10x * -1 + x2 * -1) + -1(x * 3) + -25 = 0
x + 5 + (-25 + -10x + -1x2) + -1(x * 3) + -25 = 0

Reorder the terms for easier multiplication:
x + 5 + -25 + -10x + -1x2 + -1(3x) + -25 = 0

Remove parenthesis around (3x)
x + 5 + -25 + -10x + -1x2 + -1 * 3x + -25 = 0

Multiply -1 * 3
x + 5 + -25 + -10x + -1x2 + -3x + -25 = 0

Reorder the terms:
5 + -25 + -25 + x + -10x + -3x + -1x2 = 0

Combine like terms: 5 + -25 = -20
-20 + -25 + x + -10x + -3x + -1x2 = 0

Combine like terms: -20 + -25 = -45
-45 + x + -10x + -3x + -1x2 = 0

Combine like terms: x + -10x = -9x
-45 + -9x + -3x + -1x2 = 0

Combine like terms: -9x + -3x = -12x
-45 + -12x + -1x2 = 0

Solving
-45 + -12x + -1x2 = 0

Solving for variable 'x'.

Factor out the Greatest Common Factor (GCF), '-1'.
-1(45 + 12x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(45 + 12x + x2)' equal to zero and attempt to solve:

Simplifying
45 + 12x + x2 = 0

Solving
45 + 12x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-45' to each side of the equation.
45 + 12x + -45 + x2 = 0 + -45

Reorder the terms:
45 + -45 + 12x + x2 = 0 + -45

Combine like terms: 45 + -45 = 0
0 + 12x + x2 = 0 + -45
12x + x2 = 0 + -45

Combine like terms: 0 + -45 = -45
12x + x2 = -45

The x term is 12x.  Take half its coefficient (6).
Square it (36) and add it to both sides.

Add '36' to each side of the equation.
12x + 36 + x2 = -45 + 36

Reorder the terms:
36 + 12x + x2 = -45 + 36

Combine like terms: -45 + 36 = -9
36 + 12x + x2 = -9

Factor a perfect square on the left side:
(x + 6)(x + 6) = -9

Can't calculate square root of the right side.

The solution to this equation could not be determined.

This subproblem is being ignored because a solution could not be determined.

The solution to this equation could not be determined.

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