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

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


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

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

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

Remove parenthesis around (-3 + x)
29 + -4x + x2 = -3 + x

Solving
29 + -4x + x2 = -3 + x

Solving for variable 'x'.

Reorder the terms:
29 + 3 + -4x + -1x + x2 = -3 + x + 3 + -1x

Combine like terms: 29 + 3 = 32
32 + -4x + -1x + x2 = -3 + x + 3 + -1x

Combine like terms: -4x + -1x = -5x
32 + -5x + x2 = -3 + x + 3 + -1x

Reorder the terms:
32 + -5x + x2 = -3 + 3 + x + -1x

Combine like terms: -3 + 3 = 0
32 + -5x + x2 = 0 + x + -1x
32 + -5x + x2 = x + -1x

Combine like terms: x + -1x = 0
32 + -5x + x2 = 0

Begin completing the square.

Move the constant term to the right:

Add '-32' to each side of the equation.
32 + -5x + -32 + x2 = 0 + -32

Reorder the terms:
32 + -32 + -5x + x2 = 0 + -32

Combine like terms: 32 + -32 = 0
0 + -5x + x2 = 0 + -32
-5x + x2 = 0 + -32

Combine like terms: 0 + -32 = -32
-5x + x2 = -32

The x term is -5x.  Take half its coefficient (-2.5).
Square it (6.25) and add it to both sides.

Add '6.25' to each side of the equation.
-5x + 6.25 + x2 = -32 + 6.25

Reorder the terms:
6.25 + -5x + x2 = -32 + 6.25

Combine like terms: -32 + 6.25 = -25.75
6.25 + -5x + x2 = -25.75

Factor a perfect square on the left side:
(x + -2.5)(x + -2.5) = -25.75

Can't calculate square root of the right side.

The solution to this equation could not be determined.

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