29+x(x-4)=(x+3)2

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Solution for 29+x(x-4)=(x+3)2 equation: 


Simplifying
29 + x(x + -4) = (x + 3) * 2

Reorder the terms:
29 + x(-4 + x) = (x + 3) * 2
29 + (-4 * x + x * x) = (x + 3) * 2
29 + (-4x + x2) = (x + 3) * 2

Reorder the terms:
29 + -4x + x2 = (3 + x) * 2

Reorder the terms for easier multiplication:
29 + -4x + x2 = 2(3 + x)
29 + -4x + x2 = (3 * 2 + x * 2)
29 + -4x + x2 = (6 + 2x)

Solving
29 + -4x + x2 = 6 + 2x

Solving for variable 'x'.

Reorder the terms:
29 + -6 + -4x + -2x + x2 = 6 + 2x + -6 + -2x

Combine like terms: 29 + -6 = 23
23 + -4x + -2x + x2 = 6 + 2x + -6 + -2x

Combine like terms: -4x + -2x = -6x
23 + -6x + x2 = 6 + 2x + -6 + -2x

Reorder the terms:
23 + -6x + x2 = 6 + -6 + 2x + -2x

Combine like terms: 6 + -6 = 0
23 + -6x + x2 = 0 + 2x + -2x
23 + -6x + x2 = 2x + -2x

Combine like terms: 2x + -2x = 0
23 + -6x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-23' to each side of the equation.
23 + -6x + -23 + x2 = 0 + -23

Reorder the terms:
23 + -23 + -6x + x2 = 0 + -23

Combine like terms: 23 + -23 = 0
0 + -6x + x2 = 0 + -23
-6x + x2 = 0 + -23

Combine like terms: 0 + -23 = -23
-6x + x2 = -23

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 = -23 + 9

Reorder the terms:
9 + -6x + x2 = -23 + 9

Combine like terms: -23 + 9 = -14
9 + -6x + x2 = -14

Factor a perfect square on the left side:
(x + -3)(x + -3) = -14

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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