=x^2+10x+29

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Solution for =x^2+10x+29 equation: 


Simplifying
0 = x2 + 10x + 29

Reorder the terms:
0 = 29 + 10x + x2

Solving
0 = 29 + 10x + x2

Solving for variable 'x'.

Combine like terms: 0 + -29 = -29
-29 + -10x + -1x2 = 29 + 10x + x2 + -29 + -10x + -1x2

Reorder the terms:
-29 + -10x + -1x2 = 29 + -29 + 10x + -10x + x2 + -1x2

Combine like terms: 29 + -29 = 0
-29 + -10x + -1x2 = 0 + 10x + -10x + x2 + -1x2
-29 + -10x + -1x2 = 10x + -10x + x2 + -1x2

Combine like terms: 10x + -10x = 0
-29 + -10x + -1x2 = 0 + x2 + -1x2
-29 + -10x + -1x2 = x2 + -1x2

Combine like terms: x2 + -1x2 = 0
-29 + -10x + -1x2 = 0

Factor out the Greatest Common Factor (GCF), '-1'.
-1(29 + 10x + x2) = 0

Ignore the factor -1.

Subproblem 1
Set the factor '(29 + 10x + x2)' equal to zero and attempt to solve:

Simplifying
29 + 10x + x2 = 0

Solving
29 + 10x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-29' to each side of the equation.
29 + 10x + -29 + x2 = 0 + -29

Reorder the terms:
29 + -29 + 10x + x2 = 0 + -29

Combine like terms: 29 + -29 = 0
0 + 10x + x2 = 0 + -29
10x + x2 = 0 + -29

Combine like terms: 0 + -29 = -29
10x + x2 = -29

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 = -29 + 25

Reorder the terms:
25 + 10x + x2 = -29 + 25

Combine like terms: -29 + 25 = -4
25 + 10x + x2 = -4

Factor a perfect square on the left side:
(x + 5)(x + 5) = -4

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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